The chef of a pizza place used $8\frac{3}{4}$ packages of pepperoni and $\frac{1}{4}$ of a package of sausage. How much more pepperoni than sausage did the chef use? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ packages

Full solution

Q. The chef of a pizza place used

8\frac{3}{4}

packages of pepperoni and

\frac{1}{4}

of a package of sausage. How much more pepperoni than sausage did the chef use?

\newline

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

\newline

_____ packages

Convert to Improper Fraction: Step $1$ : Convert mixed number to improper fraction for pepperoni used. $\newline$ $8 \frac{3}{4} = (8 \times 4 + 3)/4 = \frac{35}{4}$
Given Sausage Amount: Step $2$ : Since the sausage used is already given as a fraction, no conversion is needed. $\newline$ Sausage used = $\frac{1}{4}$
Subtract to Find Difference: Step $3$ : Subtract the amount of sausage from the amount of pepperoni to find how much more pepperoni was used. $\frac{35}{4} - \frac{1}{4} = \frac{(35 - 1)}{4} = \frac{34}{4} = 8 \frac{1}{2}$