Question

14．$\frac{5}{9}$×79$\frac{16}{17}$+50×$\frac{1}{9}$+$\frac{1}{9}$×$\frac{5}{17}$+3$\frac{3}{14}$÷$\frac{9}{112}$．

Answer 1

分析 通過數(shù)字轉(zhuǎn)化，運(yùn)用乘法分配律簡(jiǎn)算即可．

解答 解：$\frac{5}{9}$×79$\frac{16}{17}$+50×$\frac{1}{9}$+$\frac{1}{9}$×$\frac{5}{17}$+3$\frac{3}{14}$÷$\frac{9}{112}$
=$\frac{5}{9}$×79$\frac{16}{17}$+10×$\frac{5}{9}$+$\frac{5}{9}$×$\frac{1}{17}$+$\frac{45}{14}$×$\frac{112}{9}$
=$\frac{5}{9}$×（79$\frac{16}{17}$+10+$\frac{1}{17}$）+40
=$\frac{5}{9}$×90+40
=50+40
=90

點(diǎn)評(píng) 此題解答的關(guān)鍵在于仔細(xì)分析數(shù)據(jù)，進(jìn)行數(shù)字轉(zhuǎn)化，運(yùn)用合適的簡(jiǎn)便方法計(jì)算．