1. 计算:
(1) $\frac{2}{5} × (1.4 - \frac{2}{3}) ÷ \frac{8}{15} + 0.45$;
(2) $(-1\frac{1}{3}) × (0.5 - \frac{2}{3}) ÷ \frac{10}{9}$;
(3) $\frac{8}{5} ÷ [\frac{1}{2} × (\frac{3}{5} - \frac{1}{3})]$;
(4) $\frac{7}{20} ÷ (4 - 2.4 × \frac{5}{6})$。
(1) $\frac{2}{5} × (1.4 - \frac{2}{3}) ÷ \frac{8}{15} + 0.45$;
(2) $(-1\frac{1}{3}) × (0.5 - \frac{2}{3}) ÷ \frac{10}{9}$;
(3) $\frac{8}{5} ÷ [\frac{1}{2} × (\frac{3}{5} - \frac{1}{3})]$;
(4) $\frac{7}{20} ÷ (4 - 2.4 × \frac{5}{6})$。
答案
(1) $1$
(2) $\frac{1}{5}$
(3) $12$
(4) $\frac{7}{40}$
(2) $\frac{1}{5}$
(3) $12$
(4) $\frac{7}{40}$
2. 计算:
(1) $-\dfrac{1}{63} ÷ ( \dfrac{2}{9} - \dfrac{4}{7} + \dfrac{2}{21} )$;
(2) $-\dfrac{1}{42} ÷ ( \dfrac{1}{6} - \dfrac{3}{14} + \dfrac{2}{3} - \dfrac{2}{7} )$;
(3) $-\dfrac{1}{24} ÷ ( \dfrac{3}{4} - \dfrac{5}{8} + \dfrac{9}{12} )$;
(4) $36 ÷ ( \dfrac{1}{3} - \dfrac{1}{4} - \dfrac{1}{6} )$。
(1) $-\dfrac{1}{63} ÷ ( \dfrac{2}{9} - \dfrac{4}{7} + \dfrac{2}{21} )$;
(2) $-\dfrac{1}{42} ÷ ( \dfrac{1}{6} - \dfrac{3}{14} + \dfrac{2}{3} - \dfrac{2}{7} )$;
(3) $-\dfrac{1}{24} ÷ ( \dfrac{3}{4} - \dfrac{5}{8} + \dfrac{9}{12} )$;
(4) $36 ÷ ( \dfrac{1}{3} - \dfrac{1}{4} - \dfrac{1}{6} )$。
答案
(1) $\frac{1}{16}$
【解析】(倒数法)原式的倒数为
$(\frac{2}{9} - \frac{4}{7} + \frac{2}{21}) ÷ (-\frac{1}{63}) = (\frac{2}{9} - \frac{4}{7} + \frac{2}{21}) × (-63) = -14+36-6=16.$
故原式$=\frac{1}{16}.$
(2) $-\frac{1}{14}$
(3) $-\frac{1}{21}$
(4) $-432$
【解析】(倒数法)原式的倒数为
$(\frac{2}{9} - \frac{4}{7} + \frac{2}{21}) ÷ (-\frac{1}{63}) = (\frac{2}{9} - \frac{4}{7} + \frac{2}{21}) × (-63) = -14+36-6=16.$
故原式$=\frac{1}{16}.$
(2) $-\frac{1}{14}$
(3) $-\frac{1}{21}$
(4) $-432$
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