Britney

Britney made 12 1/4 bags of popcorn for a movie night with some friends. Together they ate 8 7/8 bag of it. How much popcorn was left?

Write result as a fraction or a mixed number.

Correct answer:

x =  3 ³⁄₈ = 27/8

Step-by-step explanation:

$$\begin{gathered} a=12\frac{1}{4}=12+\frac{1}{4}=\frac{12\cdot 4+1}{4}=\frac{48+1}{4}=\frac{49}{4}=12\frac{1}{4}=12.25 \\ b=8\frac{7}{8}=8+\frac{7}{8}=\frac{8\cdot 8+7}{8}=\frac{64+7}{8}=\frac{71}{8}=8\frac{7}{8}=8.875 \\ x=a-b=\frac{49}{4}-\frac{71}{8}=\frac{98}{8}-\frac{71}{8}=\frac{98-71}{8}=\frac{27}{8}=3\frac{3}{8}=3.375 \end{gathered}$$

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