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一、简便计算下面各题。
$ ( \frac { 7 } { 3 3 } + \frac { 7 } { 2 2 } ) × 6 6 $$ $$ \frac { 3 } { 4 } × \frac { 2 } { 3 } + \frac { 3 } { 4 } × \frac { 1 } { 3 } $$ $$ 7. 3 2 - 2. 8 + 1 2. 6 8 - 2. 2 $
$ 6. 4 × 2 5 × 1. 2 5 $$ $$ 8 - \frac { 1 } { 8 } ÷ \frac { 5 } { 1 6 } - \frac { 3 } { 5 } $$ $$ 7 5 \% × 4 0 \% ÷ 7 5 \% × 4 0 \% $
$ ( \frac { 7 } { 3 3 } + \frac { 7 } { 2 2 } ) × 6 6 $$ $$ \frac { 3 } { 4 } × \frac { 2 } { 3 } + \frac { 3 } { 4 } × \frac { 1 } { 3 } $$ $$ 7. 3 2 - 2. 8 + 1 2. 6 8 - 2. 2 $
$ 6. 4 × 2 5 × 1. 2 5 $$ $$ 8 - \frac { 1 } { 8 } ÷ \frac { 5 } { 1 6 } - \frac { 3 } { 5 } $$ $$ 7 5 \% × 4 0 \% ÷ 7 5 \% × 4 0 \% $
答案
35 $\dfrac{3}{4}$ 15 200 7 0.16
解析
$(\frac{7}{33}+\frac{7}{22})×66$
$=\frac{7}{33}×66+\frac{7}{22}×66$
$=14 + 21$
$=35$
$\frac{3}{4}×\frac{2}{3}+\frac{3}{4}×\frac{1}{3}$
$=\frac{3}{4}×(\frac{2}{3}+\frac{1}{3})$
$=\frac{3}{4}×1$
$=\frac{3}{4}$
$7.32 - 2.8 + 12.68 - 2.2$
$=(7.32 + 12.68) - (2.8 + 2.2)$
$=20 - 5$
$=15$
$6.4×25×1.25$
$=0.8×8×25×1.25$
$=(0.8×1.25)×(8×25)$
$=1×200$
$=200$
$8 - \frac{1}{8}÷\frac{5}{16} - \frac{3}{5}$
$=8 - \frac{1}{8}×\frac{16}{5} - \frac{3}{5}$
$=8 - \frac{2}{5} - \frac{3}{5}$
$=8 - (\frac{2}{5}+\frac{3}{5})$
$=8 - 1$
$=7$
$75\%×40\%÷75\%×40\%$
$=0.75×0.4÷0.75×0.4$
$=(0.75÷0.75)×(0.4×0.4)$
$=1×0.16$
$=0.16$
$=\frac{7}{33}×66+\frac{7}{22}×66$
$=14 + 21$
$=35$
$\frac{3}{4}×\frac{2}{3}+\frac{3}{4}×\frac{1}{3}$
$=\frac{3}{4}×(\frac{2}{3}+\frac{1}{3})$
$=\frac{3}{4}×1$
$=\frac{3}{4}$
$7.32 - 2.8 + 12.68 - 2.2$
$=(7.32 + 12.68) - (2.8 + 2.2)$
$=20 - 5$
$=15$
$6.4×25×1.25$
$=0.8×8×25×1.25$
$=(0.8×1.25)×(8×25)$
$=1×200$
$=200$
$8 - \frac{1}{8}÷\frac{5}{16} - \frac{3}{5}$
$=8 - \frac{1}{8}×\frac{16}{5} - \frac{3}{5}$
$=8 - \frac{2}{5} - \frac{3}{5}$
$=8 - (\frac{2}{5}+\frac{3}{5})$
$=8 - 1$
$=7$
$75\%×40\%÷75\%×40\%$
$=0.75×0.4÷0.75×0.4$
$=(0.75÷0.75)×(0.4×0.4)$
$=1×0.16$
$=0.16$
二、计算下面各题，怎样简便就怎样计算。
$ 2 3 6 + 1 8 0 ÷ 1 5 - 1 3 6 $$ $$ 9 0 0 - 4 5 0 ÷ 1 8 × 1 4 $$ $$ 9 0 \% × 3 2. 4 + 3 2. 4 ÷ 1 0 $
$ 1 9. 8 - 1 0. 8 ÷ 4. 5 $$ $$ \frac { 3 } { 7 } ÷ \frac { 5 } { 6 } + \frac { 4 } { 7 } × \frac { 6 } { 5 } $$ $$ 1. 2 5 × 0. 9 8 × 0. 8 $
$ ( \frac { 5 } { 9 } + \frac { 1 } { 2 3 } ) × 9 + \frac { 1 4 } { 2 3 } $$ $$ \frac { 9 } { 2 0 } ÷ [ ( \frac { 2 } { 5 } + \frac { 1 } { 3 } ) × \frac { 3 } { 4 } ] $$ $$ 9 0 0 ÷ ( 1 - 2 5 \% - 3 0 \% ) $
$ 2 3 6 + 1 8 0 ÷ 1 5 - 1 3 6 $$ $$ 9 0 0 - 4 5 0 ÷ 1 8 × 1 4 $$ $$ 9 0 \% × 3 2. 4 + 3 2. 4 ÷ 1 0 $
$ 1 9. 8 - 1 0. 8 ÷ 4. 5 $$ $$ \frac { 3 } { 7 } ÷ \frac { 5 } { 6 } + \frac { 4 } { 7 } × \frac { 6 } { 5 } $$ $$ 1. 2 5 × 0. 9 8 × 0. 8 $
$ ( \frac { 5 } { 9 } + \frac { 1 } { 2 3 } ) × 9 + \frac { 1 4 } { 2 3 } $$ $$ \frac { 9 } { 2 0 } ÷ [ ( \frac { 2 } { 5 } + \frac { 1 } { 3 } ) × \frac { 3 } { 4 } ] $$ $$ 9 0 0 ÷ ( 1 - 2 5 \% - 3 0 \% ) $
答案
112 550 32.4 17.4 $\dfrac{6}{5}$ 0.98 6 $\dfrac{9}{11}$ 2000
解析
$236 + 180÷15 - 136$
$=236 - 136 + 12$
$=100 + 12$
$=112$
$900 - 450÷18×14$
$=900 - 25×14$
$=900 - 350$
$=550$
$90\%×32.4 + 32.4÷10$
$=0.9×32.4 + 32.4×0.1$
$=32.4×(0.9 + 0.1)$
$=32.4×1$
$=32.4$
$19.8 - 10.8÷4.5$
$=19.8 - 2.4$
$=17.4$
$\dfrac{3}{7}÷\dfrac{5}{6} + \dfrac{4}{7}×\dfrac{6}{5}$
$=\dfrac{3}{7}×\dfrac{6}{5} + \dfrac{4}{7}×\dfrac{6}{5}$
$=\dfrac{6}{5}×(\dfrac{3}{7} + \dfrac{4}{7})$
$=\dfrac{6}{5}×1$
$=\dfrac{6}{5}$
$1.25×0.98×0.8$
$=1.25×0.8×0.98$
$=1×0.98$
$=0.98$
$(\dfrac{5}{9} + \dfrac{1}{23})×9 + \dfrac{14}{23}$
$=\dfrac{5}{9}×9 + \dfrac{1}{23}×9 + \dfrac{14}{23}$
$=5 + \dfrac{9}{23} + \dfrac{14}{23}$
$=5 + 1$
$=6$
$\dfrac{9}{20}÷[(\dfrac{2}{5} + \dfrac{1}{3})×\dfrac{3}{4}]$
$=\dfrac{9}{20}÷[(\dfrac{6}{15} + \dfrac{5}{15})×\dfrac{3}{4}]$
$=\dfrac{9}{20}÷[\dfrac{11}{15}×\dfrac{3}{4}]$
$=\dfrac{9}{20}÷\dfrac{11}{20}$
$=\dfrac{9}{11}$
$900÷(1 - 25\% - 30\%)$
$=900÷(0.75 - 0.3)$
$=900÷0.45$
$=2000$
$=236 - 136 + 12$
$=100 + 12$
$=112$
$900 - 450÷18×14$
$=900 - 25×14$
$=900 - 350$
$=550$
$90\%×32.4 + 32.4÷10$
$=0.9×32.4 + 32.4×0.1$
$=32.4×(0.9 + 0.1)$
$=32.4×1$
$=32.4$
$19.8 - 10.8÷4.5$
$=19.8 - 2.4$
$=17.4$
$\dfrac{3}{7}÷\dfrac{5}{6} + \dfrac{4}{7}×\dfrac{6}{5}$
$=\dfrac{3}{7}×\dfrac{6}{5} + \dfrac{4}{7}×\dfrac{6}{5}$
$=\dfrac{6}{5}×(\dfrac{3}{7} + \dfrac{4}{7})$
$=\dfrac{6}{5}×1$
$=\dfrac{6}{5}$
$1.25×0.98×0.8$
$=1.25×0.8×0.98$
$=1×0.98$
$=0.98$
$(\dfrac{5}{9} + \dfrac{1}{23})×9 + \dfrac{14}{23}$
$=\dfrac{5}{9}×9 + \dfrac{1}{23}×9 + \dfrac{14}{23}$
$=5 + \dfrac{9}{23} + \dfrac{14}{23}$
$=5 + 1$
$=6$
$\dfrac{9}{20}÷[(\dfrac{2}{5} + \dfrac{1}{3})×\dfrac{3}{4}]$
$=\dfrac{9}{20}÷[(\dfrac{6}{15} + \dfrac{5}{15})×\dfrac{3}{4}]$
$=\dfrac{9}{20}÷[\dfrac{11}{15}×\dfrac{3}{4}]$
$=\dfrac{9}{20}÷\dfrac{11}{20}$
$=\dfrac{9}{11}$
$900÷(1 - 25\% - 30\%)$
$=900÷(0.75 - 0.3)$
$=900÷0.45$
$=2000$
