Jewelry box

The bottom of Zeyda's jewelry box is a rectangle with a length of 5 3/8 inches and a width of 3 1/4 inches. What is the area at the bottom of the jewelry box?

Correct answer:

S =  17 ¹⁵⁄₃₂ = 559/32 inch²

Step-by-step explanation:

$$\begin{gathered} a=5\frac{3}{8}=5+\frac{3}{8}=\frac{5\cdot 8+3}{8}=\frac{40+3}{8}=\frac{43}{8}=5.375\text{inch} \\ b=3\frac{1}{4}=3+\frac{1}{4}=\frac{3\cdot 4+1}{4}=\frac{12+1}{4}=\frac{13}{4}=3.25\text{inch} \\ S=a\cdot b=\frac{43}{8}\cdot \frac{13}{4}=\frac{43\cdot 13}{8\cdot 4}=\frac{559}{32}=\frac{559}{32}{\text{inch}}^2=17\frac{15}{32}{\text{inch}}^2=17.4688{\text{inch}}^2 \end{gathered}$$

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