Lamar's Desserts made a batch of fresh scones with $4\frac{5}{6}$ pounds of butter and $3\frac{1}{6}$ pounds of sugar. How much more butter than sugar was used? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_$ pounds

Full solution

Q. Lamar's Desserts made a batch of fresh scones with

4\frac{5}{6}

pounds of butter and

3\frac{1}{6}

pounds of sugar. How much more butter than sugar was used?

\newline

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

\newline

\_\_\_

pounds

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier calculation. $\newline$ $4 \frac{5}{6}$ becomes $\frac{(6\times4 + 5)}{6} = \frac{29}{6}$ pounds of butter. $\newline$ $3 \frac{1}{6}$ becomes $\frac{(6\times3 + 1)}{6} = \frac{19}{6}$ pounds of sugar.
Subtract to Find Difference: Subtract the amount of sugar from the amount of butter to find the difference. $\newline$ $\frac{29}{6} - \frac{19}{6} = \frac{29 - 19}{6} = \frac{10}{6}$ pounds.
Simplify Fraction: Simplify the fraction $\frac{10}{6}$ to its lowest terms. $\newline$ $\frac{10}{6}$ can be simplified to $\frac{5}{3}$ , which is $1\frac{2}{3}$ when converted to a mixed number.