AMC8 1998

AMC8 1998 · Q3

AMC8 1998 · Q3. It mainly tests Fractions.

What is $\frac{3}{8} + \frac{7}{8} \div \frac{4}{5}$?

计算 $\frac{3}{8} + \frac{7}{8} \div \frac{4}{5}$ 等于多少？

(A) 1 1

(B) \frac{25}{16} \frac{25}{16}

(D) \frac{43}{20} \frac{43}{20}

(E) \frac{47}{16} \frac{47}{16}

Answer

Correct choice: (B)

正确答案：（B）

Solution

$\frac{3}{8} + \frac{7}{8} = \frac{10}{8} = \frac{5}{4}$. Therefore, $\frac{5}{4} \div \frac{4}{5} = \frac{5}{4} \cdot \frac{5}{4} = \frac{25}{16}$.

$\frac{3}{8} + \frac{7}{8} = \frac{10}{8} = \frac{5}{4}$。因此，$\frac{5}{4} \div \frac{4}{5} = \frac{5}{4} \cdot \frac{5}{4} = \frac{25}{16}$。

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