填空并写出综合算式。

综合算式:
综合算式:
$(\frac{5}{17}÷\frac{3}{4})×(\frac{3}{11}×\frac{11}{3})$
综合算式:$(9÷\frac{3}{5})÷(\frac{3}{4}+\frac{1}{12})$
答案
$(\frac{5}{17}÷\frac{3}{4})×(\frac{3}{11}×\frac{11}{3});$$(9÷\frac{3}{5})÷(\frac{3}{4}+\frac{1}{12})$
1. 计算下面各题。
$ \frac{2}{9} ÷ \frac{5}{6} × \frac{3}{16} \frac{14}{37} ÷ \frac{17}{29} ÷ \frac{29}{17} $
$ \frac{29}{43} ÷ (\frac{29}{43} × \frac{11}{18}) \frac{5}{12} × 8 × \frac{3}{10} $
$ \frac{3}{8} × (5 ÷ \frac{15}{16}) 70 ÷ (\frac{5}{6} ÷ \frac{10}{21}) $
$ \frac{2}{9} ÷ \frac{5}{6} × \frac{3}{16} \frac{14}{37} ÷ \frac{17}{29} ÷ \frac{29}{17} $
$ \frac{29}{43} ÷ (\frac{29}{43} × \frac{11}{18}) \frac{5}{12} × 8 × \frac{3}{10} $
$ \frac{3}{8} × (5 ÷ \frac{15}{16}) 70 ÷ (\frac{5}{6} ÷ \frac{10}{21}) $
答案
1.
$ \frac{2}{9} ÷ \frac{5}{6} × \frac{3}{16}$
$=\frac{2}{9} × \frac{6}{5} × \frac{3}{16}$
$=\frac{4}{15} × \frac{3}{16}$
$=\frac{1}{20}$
2.
$ \frac{14}{37} ÷ \frac{17}{29} ÷ \frac{29}{17} $
$=\frac{14}{37} × \frac{29}{17} × \frac{17}{29}$
$=\frac{14}{37} ×( \frac{29}{17} × \frac{17}{29})$
$=\frac{14}{37} × 1$
$=\frac{14}{37}$
3.
$ \frac{29}{43} ÷ (\frac{29}{43} × \frac{11}{18}) $
$=\frac{29}{43} ÷ \frac{29}{43} ÷ \frac{11}{18}$
$= 1 ÷ \frac{11}{18}$
$= 1 × \frac{18}{11}$
$=\frac{18}{11}$
4.
$ \frac{5}{12} × 8 × \frac{3}{10} $
$=\frac{10}{3} × \frac{3}{10}$
= 1
5.
$ \frac{3}{8} × (5 ÷ \frac{15}{16}) $
$=\frac{3}{8} × (5 × \frac{16}{15})$
$=\frac{3}{8} × \frac{16}{3}$
= 2
6.
$70 ÷ (\frac{5}{6} ÷ \frac{10}{21}) $
$=70 ÷ (\frac{5}{6} × \frac{21}{10})$
$=70 ÷ \frac{7}{4}$
$=70 × \frac{4}{7}$
= 40
$ \frac{2}{9} ÷ \frac{5}{6} × \frac{3}{16}$
$=\frac{2}{9} × \frac{6}{5} × \frac{3}{16}$
$=\frac{4}{15} × \frac{3}{16}$
$=\frac{1}{20}$
2.
$ \frac{14}{37} ÷ \frac{17}{29} ÷ \frac{29}{17} $
$=\frac{14}{37} × \frac{29}{17} × \frac{17}{29}$
$=\frac{14}{37} ×( \frac{29}{17} × \frac{17}{29})$
$=\frac{14}{37} × 1$
$=\frac{14}{37}$
3.
$ \frac{29}{43} ÷ (\frac{29}{43} × \frac{11}{18}) $
$=\frac{29}{43} ÷ \frac{29}{43} ÷ \frac{11}{18}$
$= 1 ÷ \frac{11}{18}$
$= 1 × \frac{18}{11}$
$=\frac{18}{11}$
4.
$ \frac{5}{12} × 8 × \frac{3}{10} $
$=\frac{10}{3} × \frac{3}{10}$
= 1
5.
$ \frac{3}{8} × (5 ÷ \frac{15}{16}) $
$=\frac{3}{8} × (5 × \frac{16}{15})$
$=\frac{3}{8} × \frac{16}{3}$
= 2
6.
$70 ÷ (\frac{5}{6} ÷ \frac{10}{21}) $
$=70 ÷ (\frac{5}{6} × \frac{21}{10})$
$=70 ÷ \frac{7}{4}$
$=70 × \frac{4}{7}$
= 40
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