Question

If five-eights of a gallon of punch was shared equally among the 7 people, what fraction of one gallon did each person receive?

Answer 1

Divide the whole portion to be shared (5/8 gallon) by the number of portions (7).

=5/8 ÷ 7
to divide fractions, multiply by the reciprocal/inverse of 7

=5/8 * 1/7
multiply numerators; multiply denominators

=(5*1)/(8*7)
=5/56 of a gallon


ANSWER: Each person would get 5/56 of a gallon (or 0.089 of a gallon).

Hope this helps! :)

Answer 2

$\text {7 people} = \dfrac{5}{8} \text{ gallon of punch}$

$\text {1 person} = \dfrac{5}{8} \div 7 = \dfrac{5}{8} \times \dfrac{1}{7} = \dfrac{5}{56} \text{ gallon of punch}$

$\text {Answer: } \dfrac{5}{56} \text{ gallon of punch}$