(Multiplying and Dividing with Scientific Notation MC)
How many times smaller is 5 x 10-7 than 8.5 x 10-4? I NEED THIS ASAP

Answers

Answer 1

Answer:

38

Step-by-step explanation:

5 x 10 -7= 43

8.5 x 10 -4= 81

81-43= 38

Answer 2

Answer:

[tex] 1.7 \times 10^3 = 1700 [/tex]

Step-by-step explanation:

To find how many times x is smaller than y, divide y by x.

Here we want to find how many times 5 × 10^-7 is smaller than 8.5 × 10^-4, so we divide 8.5 × 10^-4 by 5 × 10^-7.

[tex] \dfrac{8.5 \times 10^{-4}}{5 \times 10^{-7}} = [/tex]

[tex] = \dfrac{8.5}{5} \times \dfrac{10^{-4}}{10^{-7}} [/tex]

[tex] = 1.7 \times 10^{-4 - (-7)} [/tex]

[tex] = 1.7 \times 10^{-4 + 7} [/tex]

[tex] = 1.7 \times 10^3 = 1700 [/tex]


Related Questions

Drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x, and match each solution to its number line graph. Two less than of a number (x) is no more than . The sum of two times a number (x) and -2 is at least 8. Seven subtracted from 4 times a number (x) is more than 13. Four added to 3 times a number (x) is less than 19.

Answers

in the figure, the first number line goes with x [tex]\leq[/tex]5

the second number line goes with x [tex]\geq[/tex] 5

the third number line goes with x > 5

the fourth number line goes with x < 5

Two less than 3/2 of a number x is  no more than 5/2 is shown as:

3/2 x- 2 [tex]\leq[/tex] 5 1/2

3/2 x [tex]\leq[/tex] 11/2 + 2

3/2 x [tex]\leq[/tex] 15/2

3x [tex]\leq[/tex] 15

x [tex]\leq[/tex] 5

The sum of two times a number (x) and -2 is at least 8 is shown as :

2x+(-2) [tex]\geq[/tex] 8

2x - 2 [tex]\geq[/tex] 8

2x [tex]\geq[/tex] 8+2

2x [tex]\geq[/tex] 10

x [tex]\geq[/tex] 5

Seven subtracted from 4 times a number (x) is more than 13 is shown as

4x -7 > 13

4x > 13+7

4x > 20

x > 20 ÷ 4

x > 5

Four added to 3 times a number (x) is less than 19 is shown as

3x + 4 < 19

3x < 19-4

3x < 15

x < 15 ÷ 3

x< 5

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12y + 48 - 4y= 8(y - 6)

Answers

Here’s the first part

Chika's uncle makes perfect brownies. Chika noted how much sugar he uses based on how many batches
he makes:

Answers

Answer:

7.5 batches

Step-by-step explanation:

if he uses 0.6kg of sugar per 2 batches, it's 0.3kg per batch.

2.25kg would let us make

2.25kg / 0.3kg = 2.25 / 0.3 = 7.5 batches

f is the function (x)-2x+5.
(a) Find (3)
(6) Express the inverse function f' in the form f'(x)-
g is the function g(x)-²-25.
(c) Find g(-3).
(d) (1) Find gfx)
r'(x)-
Give your answer as simply as possible.
(ii) Solve g(x)-0.
gf(x) -
(1)
8
e
(5)

Answers

The given functions can be solved using composition functions.

What is a composition function?

Function composition is a mathematical procedure where two functions, f and g, are taken and a function, h = g f, is produced such that h(x) = g(f(x)). The function g is applied in this operation on the outcome of applying the function f to x.

function (x)-2x+5.

(a) f(3) = 2(3) + 5

= 11

(b) f'(x)

y = 2x + 5

y - 5 = 2x

x = y - 5 / 2

f'(x) = x - 5 / 2

g is the function g(x)-²-25.

(c)  g(x)-²-25

g(-3) = (-3)² - 25

g(-3) = -16

(d) g(f(x)) = g(2x + 5)² - 25

= 4x² + 25 + 20x - 25

⇒ 4x² + 20x

r'(x) = 2x + 5

(ii) g(x) - 0

g(x)

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Let f(x)=12x+7. Use algebra to find the inverse function f^-1(x).

Answers

Step-by-step explanation:

Replace x with y and y with x.

Then, try to isolate the y.

x=12y+7

x-7=12y

(x-7)/12=y

f^-1(x)=(x-7)/12

Write an equation of the form y=a sin b x or y=a cos b x to describe the graph below.

Answers

Greetings from Brasil...

In a trigonometric function of Cosine, we have:

F(X) = ±A ± B.COS(MX + N)

where

A = move the graph up or down

B = change the amplitude

M = change period

N = move the graph left or right without distorting it

According to the statement, we don't have A and N, so

F(X) = ± B.COS(MX)

According to the graph presented, we have:

B = amplitude = 2.5 = 5/2

period = π

detail that

Period = 2π/M

π = 2π/M ⇒ M = 2

As B = 5/2 and M = 2, then

F(X) = (5/2)COS(2X)

(I used the cosine function, because in X = 0  Y will have a non-zero value, as we can see in the graph)

Suppose a charity received a donation of $23.3 million. If this represents 58% of the charity's donated funds, what is the total amount of its donated funds? Round your answer to the nearest million dollars.

Answers

Step-by-step explanation:

23.3 million = 58%

1% = 58%/58 = 23.3 mil. / 58

100% = 1%×100 = 100×23.3 mil./58 =

= 2,330,000,000/58 = 40,172,413.79... ≈

≈ $40 millions

What are the solutions of this quadratic equation?
x² - 6x+2=0
OA.
O B.
OC.
2-3 ± √7
CD. 2-3 ± √11
-6 ± √7
x=3+√7

Answers

X=-3 plus or minus square root of 7

Kubin Company’s relevant range of production is 12,000 to 16,000 units. When it produces and sells 14,000 units, its average costs per unit are as follows:


Average Cost per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Fixed manufacturing overhead $ 5.30
Fixed selling expense $ 3.80
Fixed administrative expense $ 2.80
Sales commissions $ 1.30
Variable administrative expense $ 0.80

Required:

1. Assume the cost object is units of production:

a. What is the total direct manufacturing cost incurred to make 14,000 units?

b. What is the total indirect manufacturing cost incurred to make 14,000 units?



2. Assume the cost object is the Manufacturing Department and that its total output is 14,000 units.

a. How much total manufacturing cost is directly traceable to the Manufacturing Department?

b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the Manufacturing Department?



3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.

a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives?

b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?

Show less


3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.

a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives? (Round per unit value to 2 decimal places.)

b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?


3a. Sales commissions per unit
3a. Number of units sold
3a. Total sales commission $0
3a. Fixed portion of sales representatives’ compensation
3a. Total direct selling expense $0
3b. The total indirect selling expense

Answers

1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600.

1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200.

2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600.

2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200.

3a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.

3b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.

4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.

4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.

3a. Sales commissions per unit is $1.30.

3a. The number of units sold is 14,000 units.

3a. Total sales commission is $18,200.

3a. Fixed portion of sales representatives’ compensation is $14,000.

3a. Total direct selling expense is $18,200.

3b. The total indirect selling expense is $14,000.

Data and Calculations:

Relevant production range = 12,000 to 16,000 units

Production and sales units = 14,000 units

                                                  Average Cost

                                                       per Unit

Direct materials                                $ 7.30

Direct labor                                      $ 4.30

Variable manufacturing overhead  $ 1.80

Direct cost per unit                         $13.40

Fixed manufacturing overhead     $ 5.30

Total manufacturing cost per unit $18.70

Fixed selling expense                   $ 3.80    $53,200 ($3.80 x 14,000)

Fixed administrative expense      $ 2.80     $39,200 ($2.80 x 14,000)

Total fixed costs per unit               $6.60     $92,400 ($6.60 x 14,000)

Variable selling and admin:

Sales commissions                        $ 1.30

Variable administrative expense $ 0.80

Total variable selling and admin per unit = $2.10

1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600 ($13.40 x 14,000).

1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200 ($5.30 x 14,000).

2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600 ($13.40 x 14,000).

2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200 ($5.30 x 14,000).

3) Fixed selling expenses =  $53,200 ($3.80 x 14,000)

Advertising expenses = $39,200

Sales Compensation = $14,000 ($53,200 - $39,200)

Sales Commission = $18,200 ($1.30 x 14,000)

Total Salespersons' compensation = $32,200

a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.

b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.

4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.

4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.

3a. Sales commissions per unit is $1.30.

3a. The number of units sold is 14,000 units.

3a. Total sales commission is $18,200 (14,000 x $1.30)

3a. Fixed portion of sales representatives’ compensation is $14,000.

3a. Total direct selling expense is $18,200.

3b. The total indirect selling expense is $14,000.

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AP Calculus ab question: what is the derivative function, f'(x), using the definition of derivative for : f(x) = 3/(x+1)

Answers

Answer:

Solved using 2 different methods, used the definition of derivative aswell.

Prove that for all integers a, b, n, if n = a + b, then a ≤ n/2 or b ≤ n/2 using proof by contradiction.

Answers

From the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that all integers a, b, and n, if n = a + b, then a ≤ n/2 or b ≤ n/2. Let the value of a = 3 and b = 3 now the value of n will be:-

n = a + b

n = 3 + 3 = 6

a = 3, n = 6 then a ≤ n/2.

b = 3, n = 6 then  b ≤ n/2.

Therefore, the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.

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Kelsey made cupcakes to sell as a fundraiser for her trip to Washington DC.
She purchased one cupcake pan for $12. She calculated that the ingredients
cost her $0.25 per cupcake. She plans to sell the cupcakes for $0.75 each.

a. Write an equation that could be used to find the number of cupcakes
(x) she will need to sell to break even.

b. Solve the equation from part a. Explain how you know
is correct.

c. If she sold 184 cupcakes, what was her profit?
your answer

Answers

Answer:

a. 12= 0.50x

b. x=24 because if 0.5 times x is 12 then 12 *2 is x

c. 80$

Step-by-step explanation:

Its above.

Shirley and Pam, working together, can mow the lawn in 6
6
hours. Working alone, Pam takes three times as long as Shirley. How long does it take Shirley to mow the lawn alone?

Answers

Answer:

each takes 3 together 3x3=9

Copy and complete the table of values for
y = -2x² + 4x + 9.
What numbers replace A and B?

Answers

Answer:

Below in bold.

Step-by-step explanation:

A = value of y when x = -1:

A = -2(-1)^2 + 4(-1) + 9

   = -2*1 - 4 + 9

   = -2 - 4 + 9

   = 3.

B = value of y when x = 2:

B = -2(2)^2 + 4(2) + 9

   = -2*4 + 8 + 9

   = - 8 + 8 + 9

    = 9.

(a)A tram moved downward 21meters in 7 seconds at a constant rate. What was the change in the tram's elevation each second?

(b)In a lab, a substance was heated by 4 Celisse each hour for 40hours. What was the total change in temperature?

Answers

(a) The change in the tram's elevation (speed) each second is 3 meters/Sec

(b) The total change in temperature of the substance was 160 Celsius.

(a) The tram moves downward 21 meters in 7 second. So, the speed of the tram is 21/7 = 3 meters/Sec, which is the tram’s elevation each second.

We know that, speed = (total distance travel)/(Total travelling time)

(b) The substance was heated by 4 Celsius each hour for 40hours.

Therefore, the total change in temperature is = (4x40) = 160 celcius.

The degree Celsius is the unit of temperature on the Celsius scale, originally known as centigrade scale

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Answer:

(a) The change in the tram's elevation (speed) each second is 3 meters/Sec

(b) The total change in temperature of the substance was 160 Celsius.

Step-by-step explanation:

A small pizza has an area of
730
730730 square centimeters.
Write an inequality that describes
p
pp, the area of a pizza that is larger than a small pizza.

Answers

The inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p

What is inequality?

Inequality refers to the miracle of unstable and/ or unjust distribution of coffers and openings among members of a given society. The term inequality may mean different effects on different people and in different surroundings. The major exemplifications of social inequality include income gap, gender inequality, health care, and social class. In health care, some individuals admit better and further professional care compared to others.

From the information given, we have that;

Area of the small pizza = 730(seven hundred thirty) square centimeters

p  = area of the larger pizza

In writing inequality, we have to use the signs

<  less than

> greater than

Since p has a greater area, we have

730(seven hundred thirty) < p

Thus, the inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p

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Help me plsss this is my last oneeeree

Answers

Answer:

For the first question:

The fraction that comes after 0/3 is 1/3The fraction that comes after 1/3 is 2/3

For the second question:

The fraction that comes after 0/6 is 1/6The fraction that comes after 1/6 is 2/6The fraction that comes after 2/6 is 3/6The fraction that comes after 3/6 is 4/6The fraction that comes after 4/6 is 5/6

Step-by-step explanation:

Hope it helps! =D

Please answer quick!!! TYSM!

Answers

Answer:

10

Step-by-step explanation:

[tex]x=0 \implies x\in \{-15, -12, 0, 10\} \\ \\ \therefore f(0)=11-|0-1|=10[/tex]

The answer would be (ten)10 ^^^^^

QUESTION 4
Which of these is not a very good example of a command economy?
a.)China
b.)Soviet Union
c.)United States during WWII
d.)United States today

Answers

(d) the Present United States is not a good example of a command economy.

A command economy is a crucial component of a political system in the economy in which the degree of output that is permitted and the prices that may be paid for goods and services are set by a central governing body. Most industries are owned by the public.

The principal alternative to a command economy is a free market b where supply and demand determine prices and output.

A communist political system includes a command economy, whereas capitalist countries have a free market.

Cuba, North Korea, and the former Soviet Union all have command economies. Up until 1978, when it started to shift to a mixed economy that combines communist and capitalist features, China maintained a command economy. A socialist market economy has been used to characterize its existing setup.

The central government of a country must possess and manage the means of production in a command economy, commonly referred to as a planned economy.

There is no private ownership of land or capital, or it is very restricted. Prices are determined by central planners, who also manage production levels and restrict or forbid competition in the private sector. There is no private sector in a command economy because all companies are owned by or under the supervision of the central government.

Government officials establish national economic priorities in a command economy, such as when and how to promote economic growth, how to share resources, and how to disperse the produce. This frequently takes the shape of a long-term plan.

Hence, the United States today is not a very good example of a command economy.

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Chef Smith will be serving a breakfast banquet for 300 guests. Each guest will be served a two-egg
omelet. How many dozen eggs should Chef Smith order?

Answers

Answer: 50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

300(2) bcuz 300 guests and each person gets 2

600(12) bcuz 300(2) is 600 and a dozen is 12

=50

Whats (500 x 2) divided by 2?

Answers

500 ; 500x2=1000/2=500

Answer:

500

Step-by-step explanation:

500*2=1000

1000/2=500

2.21x10^3= convert the expression to decimal form

Answers

2210

Scientific notation is a way to present extremely large or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper. Additionally, a simpler method of representation was required for the numbers that appear at the millions place after the decimal. This makes it challenging to represent a small number of integers in their enlarged form. We therefore employ scientific notations.

Expanding the term,

2.21 x 1000 = 2210

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Suppose you start at the origin, move along the x-axis a distance of 2 units in the positive direction, and then move downward a distance of 9 units. What are the coordinates of your position?

Answers

The coordinates of our position after moving up and down will be (0, -7)

We are given a coordinate plane and we are standing at the origin of the plane.

That is, our position is (0, 0).

Now, we move 2 units in the positive direction.

So, now our position will be:

(0, 2)

Then, we move downward a distance of 9 units.

So, our position will now become:

(0, 2 - 9)

(0, -7)

Therefore, the coordinates of our position after moving up and down will be (0, -7)

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Question:

Given the demand equation p=190/q+10 where 10<0<85, for what value of q is | n | a maximum? For what value is it minimum?

Answers

The maximum and minimum value of η at q = 10 and q = 85 respectively.

The demand equation is p = 190/ (q + 10) where 10 < 0 < 85.

η is the elasticity of demand.

Then, the elasticity of demand is given as:

η = ( dq/ dp) × ( p / q )

Now, we have p = 190/ (q + 10)

Therefore,

p ( q + 10 ) = 190

pq + 10p = 190

q = ( 190 - 10p ) / p

Now,

dq / dp = ( d/dp ) ( ( 190 - 10p ) / p )

dq / dp =  ( -190/ p² )

Substituting these values in the elasticity demand,

η = ( dq/ dp) × ( p / q )

η = ( -190/ p² ) × ( p / q )

η = ( -190/ pq )

η = ( -190/ [190 / (q + 10 ) ]q )

η = [ - ( q + 10 ) / q ]

| η | = | - ( q + 10 ) / q |

η =  ( q + 10 ) / q = 1 + 10/q

The critical point is when | η' | = 0.

η' = ( d / dq ) ( 1 + 10/q )

η' = - 10/ q²

- 10/ q² = 0

Hence, - 10/ q² is not defined.

Therefore, the function is not defined at q = 0.

Therefore, q = 0 is not a solution.

We have 10 ≤ q ≤ 85

The value of functions at the endpoint,

At q = 10,

η = ( 1 + 10/q )

η = ( 1 + 10/10 )

η = 1 + 1 = 2

At q = 85,

η = ( 1 + 10/q )

η = ( 1 + 10/85 )

η = 1.11764

Therefore, the absolute value of the elasticity of demand is maximum at q = 10.

The absolute value of the elasticity of demand is minimum at q = 85.

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find the distance between the two points in simplest radical form. (1,-7) and (7,0)

Answers

Step-by-step explanation:

Answer:

The distance between the two given points is equal to √85.

Step-by-step explanation:

Let's recall what the distance formula is:

\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }\math

d= (x 1 −x2 ) 2 +(y 1 −y 2) 2

We are defined our two points as:

(x₁, y₁) → (1, -7)

(x₂, y₂) → (7, 0)

We can rewrite this into our different "variables":

x₁ = 1

y₁ = -7

x₂ = 7

y₂ = 0

Now given our distance formula and our variables, we can find the distance between the two points:

\begin{gathered}\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}\end{gathered}

d= (1−7) 2+(7−0) 2= (−6) 2+(7) 2 = 36+49=\math 85

∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.

Hope this helps!

Which of the following is correct?
Group of answer choices

10 mg = 0.001 gm

1L = 1000 mL

1 mcg = 0.1 mg

1000L = 1 mL

Answers

1L=0.001 mL is correct answer

Answer: 1L = 1000 mL

Step-by-step explanation:

1.     1 milligram (mg) is equal to 0.001 gram (gm), so 10mg = 0.01. The first choice is incorrect

2.    1 liter (L) = 1000 milliliter (mL) so the second choice is correct

3.    1 microgram (mcg) is equal to 0.001 milligram (mg), so the third                                                                 choice is incorrect.

4.    1 liter (L) = 1000 milliliter (mL), so the fourth choice is evidently                                        incorrect. (1000 L would be 1,000,000 mL)

given f(x) = 4x+1
evaluate f(2)
f(2) = ?
evaluate f(-3)
f(-3)= ?

Answers

Go ahead and solve the other one just put in the values of fx in the given set of questions to evaluate

The value of the functions are:

f(2) = 9

f(2) = -11

Use the concept of fucntion defined as:

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

The given function is,

f(x) = 4x+1

Put x = 2 in the given fucntion,

f(2) = 4(2) + 1

f(2) = 9

Put x = -3 in the given fucntion,

f(2) = 4(-3) + 1

f(2) = -11

Hence, The functions,

f(2) = 9

f(2) = -11

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If a ball is thrown upward at 96 feet per second from a height of 12 feet, the height of the ball can be modeled by S=12+96t- 16t² feet,
where t is the number of seconds after the ball is thrown. How long after the ball is thrown is the height 152 feet?
It takes seconds for the ball to reach the height 152 feet.

Answers

Answer:

2.5 & 3.5

Step-by-step explanation:

152 = 12+96t- 16t²

140+96t- 16t²=0

152 = 12+96t- 16t²

4t²-24t+35=0

(2t-7)(2t-5)=0

t = 2.5 & 3.5

Find AB→+BC→+CD→+DE→+EF→​

Answers

Answer:

34 I plus the word like in number it self

Select the expression that has a quotient greater than 1. Explain your reasoning PLEASE ANSWER THIS


1. 4 2/3 ÷ 5 1/4

2. 3 1/8 ÷ 2 2/5

3. 1 6/7 ÷ 2 1/3

4. 5 3/4 ÷ 7 3/8

Answers

The expression involving fractions that have a quotient less than 1 is: 2. 3 ⅛ ÷ 2 ⅖

How to Solve Fractions?

To solve each of the expressions involving fractions, convert mixed fractions into improper fractions before finding the quotient of each.

1. 4 ⅔ ÷ 5 ¼

Convert to improper fractions

14/3 ÷ 21/4

14/3 × 4/21

= 56/63 (less than 1)

2. 3 ⅛ ÷ 2 ⅖

Convert to improper fractions

25/8 ÷ 12/5

25/8 × 5/12

125/96 (greater than 1)

3. 1 6/7 ÷ 2 1/3

13/7 ÷ 7/3

13/7 × 3/7

= 39/49 (less than 1)

4. 5 3/4 ÷ 7 ⅜

23/4 ÷ 59/8

23/4 × 8/59

= 184/236 (less than 1)

Therefore, the expression involving fractions that have a quotient less than 1 is: 2. 3 ⅛ ÷ 2 ⅖

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