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Marcie cooked dinner for herself. The original recipe has a serving size of 3 and requires three and three sevenths pounds of chicken. How many pounds of chicken will be needed for a single serving

User Onki
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Answer: To find the amount of chicken needed for a single serving, we need to divide the total amount of chicken required for the original recipe by the serving size.

Original recipe requires: 3 3/7 pounds of chicken

Serving size: 3

Amount of chicken needed for a single serving = (3 3/7 pounds) / 3

To divide fractions, we need to convert the whole number and mixed number into improper fractions:

3 3/7 = (7 * 3 + 3) / 7 = 24/7

Now, divide:

Amount of chicken needed for a single serving = (24/7) / 3

To divide by a fraction, we multiply by its reciprocal:

Amount of chicken needed for a single serving = (24/7) * (1/3)

Now, multiply the numerators and denominators:

Amount of chicken needed for a single serving = (24 * 1) / (7 * 3) = 24/21

To simplify the fraction, find the greatest common divisor (GCD) of 24 and 21, which is 3:

Amount of chicken needed for a single serving = (24/3) / (21/3) = 8/7

So, for a single serving, you will need 8/7 pounds of chicken. This is approximately 1.14 pounds (rounded to two decimal places).

User Tawheed
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