1. 计算。
$\frac{4}{7}× \frac{1}{8}× \frac{7}{8}$ $\frac{3}{4}÷ \frac{3}{8}× \frac{1}{3}$ $\frac{5}{18}× \frac{9}{10}× \frac{1}{4}$ $\frac{5}{6}÷ \frac{5}{18}÷ \frac{3}{8}$
$\frac{1}{5}× 8÷ \frac{4}{5}$ $\frac{3}{10}÷ \frac{15}{4}× \frac{5}{6}$ $13÷ (1÷ \frac{1}{7})$ $13+(\frac{1}{5}+\frac{6}{7})$
$\frac{4}{7}× \frac{1}{8}× \frac{7}{8}$ $\frac{3}{4}÷ \frac{3}{8}× \frac{1}{3}$ $\frac{5}{18}× \frac{9}{10}× \frac{1}{4}$ $\frac{5}{6}÷ \frac{5}{18}÷ \frac{3}{8}$
$\frac{1}{5}× 8÷ \frac{4}{5}$ $\frac{3}{10}÷ \frac{15}{4}× \frac{5}{6}$ $13÷ (1÷ \frac{1}{7})$ $13+(\frac{1}{5}+\frac{6}{7})$
答案
$\frac{1}{16}$ $\frac{2}{3}$ $\frac{1}{16}$ 8 2 $\frac{13}{15}$ $\frac{492}{7}$ $\frac{360}{35}$
解析
$\frac{4}{7}×\frac{1}{8}×\frac{7}{8}=\frac{4×1×7}{7×8×8}=\frac{1}{16}$
$\frac{3}{4}÷\frac{3}{8}×\frac{1}{3}=\frac{3}{4}×\frac{8}{3}×\frac{1}{3}=\frac{2}{3}$
$\frac{5}{18}×\frac{9}{10}×\frac{1}{4}=\frac{5×9×1}{18×10×4}=\frac{1}{16}$
$\frac{5}{6}÷\frac{5}{18}÷\frac{3}{8}=\frac{5}{6}×\frac{18}{5}×\frac{8}{3}=8$
$\frac{1}{5}×8÷\frac{4}{5}=\frac{1}{5}×8×\frac{5}{4}=2$
$\frac{3}{10}÷\frac{15}{4}×\frac{5}{6}=\frac{3}{10}×\frac{4}{15}×\frac{5}{6}=\frac{1}{15}$
$13÷(1÷\frac{1}{7})=13÷7=\frac{13}{7}$
$13+(\frac{1}{5}+\frac{6}{7})=13+\frac{37}{35}=\frac{492}{35}$
$\frac{3}{4}÷\frac{3}{8}×\frac{1}{3}=\frac{3}{4}×\frac{8}{3}×\frac{1}{3}=\frac{2}{3}$
$\frac{5}{18}×\frac{9}{10}×\frac{1}{4}=\frac{5×9×1}{18×10×4}=\frac{1}{16}$
$\frac{5}{6}÷\frac{5}{18}÷\frac{3}{8}=\frac{5}{6}×\frac{18}{5}×\frac{8}{3}=8$
$\frac{1}{5}×8÷\frac{4}{5}=\frac{1}{5}×8×\frac{5}{4}=2$
$\frac{3}{10}÷\frac{15}{4}×\frac{5}{6}=\frac{3}{10}×\frac{4}{15}×\frac{5}{6}=\frac{1}{15}$
$13÷(1÷\frac{1}{7})=13÷7=\frac{13}{7}$
$13+(\frac{1}{5}+\frac{6}{7})=13+\frac{37}{35}=\frac{492}{35}$
2. 一批零件共 2400 个,师傅加工了$\frac{1}{4}$,徒弟加工的是师傅的$\frac{3}{5}$,徒弟加工了多少个?
答案
360个
解析
师傅加工的零件数:$2400×\frac{1}{4} = 600$(个)
徒弟加工的零件数:$600×\frac{3}{5} = 360$(个)
360个
徒弟加工的零件数:$600×\frac{3}{5} = 360$(个)
360个
3. 一堆建筑泥沙 30 吨,第一次用去总数的$\frac{1}{5}$,第二次用去的是第一次剩下的$\frac{3}{4}$,第二次用去建筑泥沙多少吨?(画线段图分析,列式计算)
答案
18吨
第一 次用去总数的$\frac{1}{5}$,第二次用去剩下的$\frac{3}{4}$
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