Question

Multiply 5/12 times 2. Write the answer in simplest form???

Answer 1

[AI-generated answer — Bot GPT 3.5]

5/12 * 2 = 10/12 = 5/6

Answer 2

Multiply 4/9 times 7. Write the answer as a mixed number.

Answer 3

[AI-generated answer — Bot GPT 3.5]

4/9 * 7 = 28/9 = 3 1/9

So, 4/9 times 7 is equal to 3 1/9.

Answer 4

Find the product of 2/3 × 5/9

Answer 5

[AI-generated answer — Bot GPT 3.5]

2/3 * 5/9 = (2*5) / (3*9) = 10 / 27

So, the product of 2/3 and 5/9 is 10/27.

Answer 6

Multiply 4/5 times 5/8. Write the answer in simplest form.

Answer 7

[AI-generated answer — Bot GPT 3.5]

4/5 * 5/8 = (4*5) / (5*8) = 20 / 40

To simplify, we can divide the numerator and denominator by their greatest common factor, which is 20 in this case:

20 ÷ 20 = 1
40 ÷ 20 = 2

Therefore, 20/40 simplifies to 1/2.

So, 4/5 times 5/8 is equal to 1/2.

Answer 8

Multiply 1/9 by 4 1/5. Write the answer in simplest form.

Answer 9

[AI-generated answer — Bot GPT 3.5]

To multiply a fraction by a whole number, we first convert the whole number to a fraction with the same denominator.

4 1/5 = 4 + 1/5 = 4 + 1*1/5 = 4 + 1/5 = 20/5 + 1/5 = 21/5

Now we multiply 1/9 by 21/5:

1/9 * 21/5 = (1*21) / (9*5) = 21 / 45

To simplify the fraction, we find that the greatest common factor of 21 and 45 is 3:

21 ÷ 3 = 7
45 ÷ 3 = 15

Therefore, 21/45 simplifies to 7/15.

So, 1/9 times 4 1/5 is equal to 7/15.

Answer 10

Multiply 4/5 by 7 1/3. Convert the product to be a mixed number.

Answer 11

[AI-generated answer — Bot GPT 3.5]

To multiply a fraction by a mixed number, we first convert the mixed number to an improper fraction.

7 1/3 = 7 + 1/3 = 7 + 1*3/3 = 7 + 3/3 = 10/3

Now we multiply 4/5 by 10/3:

4/5 * 10/3 = (4*10) / (5*3) = 40 / 15

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor, which is 5 in this case:

40 ÷ 5 = 8
15 ÷ 5 = 3

Therefore, 40/15 simplifies to 8/3.

Now, we can convert 8/3 to a mixed number:

8 ÷ 3 = 2 with a remainder of 2

So, the mixed number equivalent of 8/3 is 2 2/3.

Therefore, 4/5 times 7 1/3 is equal to 2 2/3.

Answer 12

In a survey of teenagers, 2/3 responded that they got regular exercise, and 4/5 of those said that walking was their main form of exercise. What fraction of the teenagers mainly exercise by walking?

Answer 13

[AI-generated answer — Bot GPT 3.5]

Let's break it down step by step:

1. 2/3 of teenagers responded that they got regular exercise.
2. Within that group, 4/5 said that walking was their main form of exercise.

To find the fraction of teenagers who mainly exercise by walking, we multiply the fractions:

(2/3) * (4/5) = (2*4) / (3*5) = 8 / 15

Therefore, 8/15 of the teenagers mainly exercise by walking.

Answer 14

Clarissa cycled at 12 1/2 miles per hour for 2 1/2 hours. How far did she travel?

Answer 15

[AI-generated answer — Bot GPT 3.5]

To find the distance Clarissa traveled, we can multiply her speed (in miles per hour) by the time she traveled (in hours).

Clarissa cycled at 12 1/2 miles per hour for 2 1/2 hours:

Distance = Speed x Time

First, let's convert 12 1/2 into an improper fraction:

12 1/2 = 25/2

Now, we can calculate the distance Clarissa traveled:

Distance = (25/2) * 2 1/2
Distance = (25/2) * (5/2)
Distance = (25*5) / (2*2)
Distance = 125 / 4
Distance = 31 1/4 miles

Clarissa traveled a distance of 31 1/4 miles.

Answer 16

Compute: 9/11 ÷ 1/3. Simplify the answer if possible.

A. 11/27

B. 27/11

C. 2 5/11

D. 3/11

Answer 17

[AI-generated answer — Bot GPT 3.5]

To divide two fractions, we multiply by the reciprocal of the divisor.

9/11 ÷ 1/3 = 9/11 * 3/1 = (9*3)/(11*1) = 27/11

Therefore, the simplified answer is 27/11, which is option B.

So, the answer is B. 27/11.

Answer 18

Sam has 1 1/2 feet of cord to make bracelets. Each bracelet needs 1/4 foot of cord. How many bracelets can he make?

Answer 19

[AI-generated answer — Bot GPT 3.5]

To find out how many bracelets Sam can make, we need to divide the total length of cord Sam has by the cord required for each bracelet.

Total length of cord = 1 1/2 feet = 3/2 feet

Cord required for each bracelet = 1/4 foot

Number of bracelets = Total length of cord / Cord required for each bracelet
Number of bracelets = (3/2) / (1/4)
Number of bracelets = (3/2) * (4/1)
Number of bracelets = 12 / 2
Number of bracelets = 6

Therefore, Sam can make 6 bracelets with 1 1/2 feet of cord.

Answer 20

Andre is cutting fence boards from a large piece of wood 10 1/4 yards long. Each board needs to be 4/5 yard. How many whole, equal-sized boards can he cut from this piece of wood?

Answer 21

[AI-generated answer — Bot GPT 3.5]

To find out how many whole, equal-sized boards Andre can cut from the piece of wood, we will divide the total length of the wood by the length each board needs.

Total length of the wood = 10 1/4 yards = 41/4 yards

Length each board needs = 4/5 yard

Number of boards = Total length of wood / Length each board needs
Number of boards = (41/4) / (4/5)
Number of boards = (41/4) * (5/4)
Number of boards = 205/16

Since we are looking for the number of whole boards, we will divide 205 by 16 to see how many times 16 goes into 205.

205 ÷ 16 = 12 with a remainder of 13

By the division, Andre can cut 12 whole, equal-sized boards, with 13/16 left over.

Answer 22

What is the quotient of 8/9 ÷ 5? Simplify your answer if needed.

Answer 23

[AI-generated answer — Bot GPT 3.5]

To divide a fraction by a whole number, we can convert the whole number to a fraction with the denominator being 1.

8/9 ÷ 5 = 8/9 ÷ 5/1

When dividing fractions, we multiply by the reciprocal of the divisor:

8/9 ÷ 5/1 = 8/9 * 1/5 = (8 * 1) / (9 * 5) = 8/45

Therefore, the quotient of 8/9 ÷ 5 is 8/45.

Answer 24

Mallory wants to run 24 miles this month. If she can run 3/4 of a mile each day she runs, how many days will it take her to run those 24 miles?

Answer 25

[AI-generated answer — Bot GPT 3.5]

To find out how many days it will take Mallory to run 24 miles at a rate of 3/4 mile per day, we need to divide the total distance by the distance she runs in a day.

Total distance she wants to run = 24 miles
Distance she runs each day = 3/4 mile

Number of days = Total distance / Distance per day
Number of days = 24 / (3/4)
Number of days = 24 * (4/3)
Number of days = 96/3
Number of days = 32

It will take Mallory 32 days to run 24 miles if she runs 3/4 mile each day.

Answer 26

Reggie is making doll clothes for his little sister. He has 3 yards of fabric. If each dress uses 3/8 yard of fabric, how many dresses can he make?

Answer 27

[AI-generated answer — Bot GPT 3.5]

To find out how many dresses Reggie can make from 3 yards of fabric, we need to divide the total length of fabric by the length needed for each dress.

Total fabric length = 3 yards

Fabric required for each dress = 3/8 yard

Number of dresses = Total fabric length / Fabric needed per dress
Number of dresses = 3 / (3/8)
Number of dresses = 3 * (8/3)
Number of dresses = 24/3
Number of dresses = 8

Therefore, Reggie can make 8 dresses with 3 yards of fabric, each dress using 3/8 yard of fabric.

Answer 28

Jessie was given the problem 3 2/5÷3/10= to solve. Jessie’s work looks like this:

3 2/5 ÷ 3/10 = ?

17/5 3/10 = ?

17/5⋅ 3/10 =17.3/5.10

51/50 = 1 1/50

Jessie’s answer is incorrect. Answer the following questions about Jessie’s work.

a. Find and describe Jessie’s error.

b. What is the correct answer?​​​​​​

Answer 29

[AI-generated answer — Bot GPT 3.5]

a. Jessie's error is in the step where she multiplies 17/5 by 3/10. The correct way to multiply fractions is to multiply the numerators together and the denominators together separately.

b. The correct way to solve the division problem 3 2/5 ÷ 3/10 is as follows:

Convert the mixed number to an improper fraction:
3 2/5 = 17/5

Divide by the fraction:
17/5 ÷ 3/10

Invert and multiply:
17/5 * 10/3

Multiply the numerators and denominators:
(17 * 10) / (5 * 3) = 170 / 15 = 34/3 or 11 1/3

Therefore, the correct answer is 11 1/3 or in improper fraction form 34/3.