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).