Janet and her brother made $\frac{5}{6}$ of a gallon of lemonade to sell at their lemonade stand. They divided the lemonade equally among $5$ paper cups. How much lemonade was in each paper cup? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ gallons

Full solution

Q. Janet and her brother made

\frac{5}{6}

of a gallon of lemonade to sell at their lemonade stand. They divided the lemonade equally among

5

paper cups. How much lemonade was in each paper cup?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

_____ gallons

Rewrite Division Problem: Rewrite the division problem as a multiplication by the reciprocal of the divisor: $\frac{5}{6} \div 5 = \frac{5}{6} \times \frac{1}{5}$
Multiply Numerators and Denominators: Multiply the numerators and the denominators: $\newline$ $(5 \times 1) / (6 \times 5) = 5/30$
Simplify Fraction: Simplify the fraction by finding the greatest common divisor, which is $5$ : $\frac{5}{30} \div \frac{5}{5} = \frac{1}{6}$