To obtain a certain shade of paint, Peter mixed $2 \frac{4}{5}$ gallons of white paint with $1 \frac{5}{8}$ gallons of brown and $9 \frac{1}{2}$ gallons of blue paint. How much paint did he have?
A) $\frac{15}{46}$ gal

B) $3 \frac{1}{15}$ gal

C) $\frac{40}{557}$ gal

D) $13 \frac{37}{40}$ gal

Question

To obtain a certain shade of paint, Peter mixed $2 \frac{4}{5}$ gallons of white paint with $1 \frac{5}{8}$ gallons of brown and $9 \frac{1}{2}$ gallons of blue paint. How much paint did he have?
A) $\frac{15}{46}$ gal

B) $3 \frac{1}{15}$ gal

C) $\frac{40}{557}$ gal

D) $13 \frac{37}{40}$ gal

Quizplus · Accepted Answer

First, convert the mixed numbers to improper fractions: $2 \frac{4}{5} = \frac{14}{5}$ gallons, $1 \frac{5}{8} = \frac{13}{8}$ gallons, and $9 \frac{1}{2} = \frac{19}{2}$ gallons. Adding these together: $\frac{14}{5} + \frac{13}{8} + \frac{19}{2} = \frac{112}{40} + \frac{65}{40} + \frac{380}{40} = \frac{557}{40}$ gallons, which simplifies to $13 \frac{37}{40}$ gallons.

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To Obtain a Certain Shade of Paint, Peter Mixed $2 \frac{4}{5}$