Question

Find the quotient of 1/2 and 12/7.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the quotient of two fractions, we divide the numerator of the first fraction by the denominator of the first fraction, and then multiply the result by the second fraction.

So, we have

(1/2) ÷ (12/7) = (1/2) * (7/12).

To simplify this, we can cancel common factors. In this case, the factors of 2 and 7 are prime numbers, so we cannot cancel any factors.

Now we multiply across:

(1/2) * (7/12) = (1*7) / (2*12) = 7/24.

Therefore, the quotient of 1/2 and 12/7 is 7/24.

Answer 2

What is 5/6 divide by 6/7

Answer 3

[AI-generated answer — Bot GPT 3.5]

To divide one fraction by another, we can find the quotient by multiplying the first fraction by the reciprocal of the second fraction.

So, to find 5/6 divided by 6/7, we can write it as:

(5/6) ÷ (6/7).

The reciprocal of 6/7 is found by swapping the numerator and denominator, so we have:

(5/6) * (7/6).

To multiply these fractions, we multiply the numerators together and the denominators together:

(5/6) * (7/6) = (5*7) / (6*6) = 35/36.

Therefore, 5/6 divided by 6/7 is equal to 35/36.

Answer 4

What is 2/3 divide by 12/19

Answer 5

[AI-generated answer — Bot GPT 3.5]

To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction.

So, to find 2/3 divided by 12/19, we need to multiply 2/3 by the reciprocal of 12/19.

The reciprocal of 12/19 is 19/12.

So, we have (2/3) * (19/12).

To multiply these fractions, we multiply the numerators together and the denominators together:

(2/3) * (19/12) = (2*19) / (3*12) = 38/36.

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:

38/36 = (38 ÷ 2) / (36 ÷ 2) = 19/18.

Therefore, 2/3 divided by 12/19 is equal to 19/18.

Answer 6

Desiree is making guacamole for a party. The recipe she is using calls for 1/4 cup lime juice for every 4 avocados. If she plans to use 1 cup of lime juice, how many avocados does she need?

Answer 7

[AI-generated answer — Bot GPT 3.5]

To determine how many avocados Desiree needs, we can set up a proportion using the given information.

The recipe calls for 1/4 cup of lime juice for every 4 avocados. So, we can set up the proportion:

(1/4 cup lime juice)/(4 avocados) = (1 cup lime juice)/(x avocados).

To solve for x, we can cross-multiply:

1/4 * x = 1 * 4.

Simplifying, we have:

x/4 = 4.

To isolate x, we can multiply both sides of the equation by 4:

(x/4) * 4 = 4 * 4.

x = 16.

Therefore, Desiree needs 16 avocados if she plans to use 1 cup of lime juice.

Answer 8

Rubio decides he is going to walk to his friend's house, which is 1 mile from his house. He can walk at a pace of 2/3 mile in 16 minutes. At this rate, how long will it take him to get to his friend's house?

Answer 9

[AI-generated answer — Bot GPT 3.5]

To determine the time it will take for Rubio to get to his friend's house, we can set up a proportion using the given information.

Rubio can walk at a pace of 2/3 mile in 16 minutes. Let's represent the time it will take for him to walk 1 mile as x minutes. The proportion can be set up as:

(2/3 mile)/(16 minutes) = (1 mile)/(x minutes).

To solve for x, we can cross-multiply:

(2/3) * x = 1 * 16.

Simplifying, we have:

(2/3) * x = 16.

To isolate x, we can multiply both sides of the equation by 3/2:

[(2/3) * x] * (3/2) = 16 * (3/2).

x = (16 * 3) / 2.

x = 48 / 2.

x = 24.

Therefore, it will take Rubio 24 minutes to get to his friend's house at this pace.

Answer 10

Find the quotient of 9/10 and 2/3

Answer 11

[AI-generated answer — Bot GPT 3.5]

To find the quotient of two fractions, we divide the numerator of the first fraction by the denominator of the first fraction and then multiply the result by the reciprocal of the second fraction.

So, to find the quotient of 9/10 and 2/3, we can set it up as:

(9/10) ÷ (2/3) = (9/10) * (3/2).

To simplify this, we can cancel common factors. In this case, no factors can be cancelled since 9, 10, 2, and 3 are all prime numbers.

Now we multiply across:

(9/10) * (3/2) = (9*3) / (10*2) = 27/20.

Therefore, the quotient of 9/10 and 2/3 is 27/20.

Answer 12

Stacy is painting her bedroom. She is able to paint 3/4 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room.

Answer 13

[AI-generated answer — Bot GPT 3.5]

To determine the time it will take Stacy to paint the entire room, we can set up a proportion using the given information.

Stacy can paint 3/4 of the bedroom in 3 hours. Let's represent the time it will take her to paint the entire room as x hours. The proportion can be set up as:

(3/4 of the room)/(3 hours) = (1 complete room)/(x hours).

To solve for x, we can cross-multiply:

(3/4) * x = 1 * 3.

Simplifying, we have:

(3/4) * x = 3.

To isolate x, we can multiply both sides of the equation by 4/3:

[(3/4) * x] * (4/3) = 3 * (4/3).

x = (3 * 4) / 3.

x = 12 / 3.

x = 4.

Therefore, it will take Stacy 4 hours to paint the entire room at this rate.