Gabrielle brought $18\frac{1}{6}$ pitchers of juice to a volleyball game, and the players drank $7\frac{5}{6}$ pitchers of it. How much juice is left? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ pitchers

Full solution

Q. Gabrielle brought

18\frac{1}{6}

pitchers of juice to a volleyball game, and the players drank

7\frac{5}{6}

pitchers of it. How much juice is left?

\newline

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

\newline

_____ pitchers

Convert to Improper Fractions: Step $1$ : Convert mixed numbers to improper fractions for easier calculation. $\newline$ $18 \frac{1}{6} = (18 \times 6 + 1)/6 = \frac{109}{6}$ $\newline$ $7 \frac{5}{6} = (7 \times 6 + 5)/6 = \frac{47}{6}$
Subtract Amounts: Step $2$ : Subtract the amount of juice drunk from the total amount brought. $\frac{109}{6} - \frac{47}{6} = \frac{109 - 47}{6} = \frac{62}{6}$
Simplify Fraction: Step $3$ : Simplify the fraction. $\frac{62}{6} = \frac{31}{3}$ , which is $10 \frac{1}{3}$ when converted to a mixed number.