Question

4．用简便方法计算：
25$\frac{12}{23}$×$\frac{6}{13}$+$\frac{6}{23}$×$\frac{11}{13}$．

Answer 1

分析 25$\frac{12}{23}$×$\frac{6}{13}$+$\frac{6}{23}$×$\frac{11}{13}$，转化为：25$\frac{12}{23}$×$\frac{6}{13}$+$\frac{11}{23}$×$\frac{6}{13}$，再运用乘法分配律简算．

解答 解：25$\frac{12}{23}$×$\frac{6}{13}$+$\frac{6}{23}$×$\frac{11}{13}$
=25$\frac{12}{23}$×$\frac{6}{13}$+$\frac{11}{23}$×$\frac{6}{13}$
=（25$\frac{12}{23}+\frac{11}{23}$）×$\frac{6}{13}$
=26×$\frac{6}{13}$
=12．

点评 此题考查的目的是理解掌握乘法分配律的意义及应用．