Question

7．計算：$\frac{1}{15}$÷3.25+$\frac{8}{13}$×$\frac{4}{15}$+$\frac{4}{13}$÷3.75．

Answer 1

分析 把小數(shù)化為分數(shù)，運用乘法分配律簡算．

解答 解：$\frac{1}{15}$÷3.25+$\frac{8}{13}$×$\frac{4}{15}$+$\frac{4}{13}$÷3.75
=$\frac{1}{15}$÷$\frac{13}{4}$+$\frac{8}{13}$×$\frac{4}{15}$+$\frac{4}{13}$÷$\frac{15}{4}$
=$\frac{1}{15}$×$\frac{4}{13}$+$\frac{4}{13}$×$\frac{8}{15}$+$\frac{4}{13}$×$\frac{4}{15}$
=（$\frac{1}{15}$+$\frac{8}{15}$+$\frac{4}{15}$）×$\frac{4}{13}$
=$\frac{13}{15}$×$\frac{4}{13}$
=$\frac{4}{15}$

點評 此題的關鍵在于數(shù)字轉(zhuǎn)化，運用運算定律進行簡算．