Question

Find the quotient of 1/2 and 12/7 .(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the quotient of two fractions, you need to divide the numerator of the first fraction by the numerator of the second fraction and then divide the denominator of the first fraction by the denominator of the second fraction.

The quotient of 1/2 and 12/7 is (1/2) ÷ (12/7).

To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.

Reciprocal of 12/7 = 7/12

So, (1/2) ÷ (12/7) = (1/2) * (7/12).

Multiplying the numerators gives 1 * 7 = 7 and multiplying the denominators gives 2 * 12 = 24.

Therefore, (1/2) ÷ (12/7) = 7/24.

Answer 2

what is 5/6 divided by 6/7?

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the quotient of two fractions, you need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction.

The quotient of 5/6 divided by 6/7 is (5/6) ÷ (6/7).

To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.

Reciprocal of 6/7 = 7/6.

So, (5/6) ÷ (6/7) = (5/6) * (7/6).

Multiplying the numerators gives 5 * 7 = 35 and multiplying the denominators gives 6 * 6 = 36.

Therefore, (5/6) ÷ (6/7) = 35/36.

Answer 4

what is 2/3 divided by 12/19

Answer 5

[AI-generated answer — Bot GPT 3.5]

To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 12/19 is 19/12.

So, (2/3) ÷ (12/19) = (2/3) * (19/12).

Multiplying the numerators gives 2 * 19 = 38 and multiplying the denominators gives 3 * 12 = 36.

Therefore, (2/3) ÷ (12/19) = 38/36.

However, we can simplify this fraction.

The greatest common divisor of 38 and 36 is 2.

Dividing both the numerator and denominator by 2, we get:

38/2 ÷ 36/2 = 19/18.

Therefore, the quotient of 2/3 divided by 12/19 is 19/18.

Answer 6

Desiree is making guacamole for a party. The recipe she is using calls for 14 cup lime juice for every 4 avocados. If she plans to use 1 cup of lime juice, how many avocados does she need?(1 point)

Answer 7

[AI-generated answer — Bot GPT 3.5]

If the recipe calls for 14 cups of lime juice for every 4 avocados, we can set up a proportion to find out how many avocados are needed for 1 cup of lime juice.

Let x be the number of avocados needed.

14 cups / 4 avocados = 1 cup / x avocados

To find x, we can cross multiply:

14 * x = 1 * 4

14x = 4

Dividing both sides by 14:

x = 4/14

Simplifying the fraction:

x = 2/7

Therefore, Desiree will need 2/7 avocados, which is approximately 0.286 avocados. Since avocados cannot be divided, Desiree would need to either round up to 1 whole avocado or adjust the recipe accordingly.

Answer 8

wrong

Answer 9

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake. Let's re-calculate.

If the recipe calls for 14 cups of lime juice for every 4 avocados, we can set up a proportion to find out how many avocados are needed for 1 cup of lime juice.

Let x be the number of avocados needed.

14 cups / 4 avocados = 1 cup / x avocados

Cross multiplying:

14 * x = 4 * 1

14x = 4

Dividing both sides by 14:

x = 4/14

Simplifying the fraction:

x = 2/7

Therefore, Desiree will need approximately 2/7 of an avocado, which is approximately 0.29 avocados. Since avocados cannot be divided, Desiree would need to round up to the nearest whole avocado. In this case, Desiree would need 1 whole avocado.

Answer 10

still wrong

Answer 11

[AI-generated answer — Bot GPT 3.5]

Apologies once again. Let's re-calculate correctly.

If the recipe calls for 14 cups of lime juice for every 4 avocados, we can set up a proportion to find out how many avocados are needed for 1 cup of lime juice.

Let x be the number of avocados needed.

14 cups / 4 avocados = 1 cup / x avocados

Cross multiplying:

14 * x = 1 * 4

14x = 4

Dividing both sides by 14:

x = 4/14

Simplifying the fraction:

x = 2/7

Therefore, Desiree will need approximately 2/7 of an avocado, which is approximately 0.286 avocados. Since avocados cannot be divided, Desiree would need to round up to the nearest whole avocado. In this case, Desiree would need 1 whole avocado.