Destiny mixed together $8\frac{1}{4}$ cups of grapefruit juice and $5\frac{1}{4}$ cups of lemon-lime soda to make punch. How many cups of punch did Destiny make? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_$ cups

Full solution

Q. Destiny mixed together

8\frac{1}{4}

cups of grapefruit juice and

5\frac{1}{4}

cups of lemon-lime soda to make punch. How many cups of punch did Destiny make?

\newline

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

\newline

\_\_\_

cups

Convert to Improper Fractions: Step $1$ : Convert mixed numbers to improper fractions for easier addition. $\newline$ $8 \frac{1}{4}$ cups of grapefruit juice becomes $(8 \times 4 + 1)/4 = \frac{33}{4}$ cups. $\newline$ $5 \frac{1}{4}$ cups of lemon-lime soda becomes $(5 \times 4 + 1)/4 = \frac{21}{4}$ cups.
Add Improper Fractions: Step $2$ : Add the two improper fractions. $\frac{33}{4} + \frac{21}{4} = \frac{(33 + 21)}{4} = \frac{54}{4}$ cups.
Simplify Fraction: Step $3$ : Simplify the fraction. $\frac{54}{4}$ can be simplified to $13\frac{2}{4}$ , which further simplifies to $13\frac{1}{2}$ cups.