解答下列问题
(a) \( \left(-2 \frac{1}{5}\right) \div\left(-\frac{6}{5}\right) \)
(b) \( \frac{14}{9} \times \frac{7}{10} \)
(c) \( 6 \frac{1}{4}+7 \frac{2}{5} \)
\( (d)\left(-1 \frac{2}{3}\right)-\left(-6 \frac{4}{5}\right) \)
a) $-2 \frac{1}{5}÷ -\frac{6}{5}$
=$\frac{-11}{5} ÷ -\frac{6}{5}$
= $\frac{-11}{5} \times -\frac{6}{5}$
= $\frac{-11}{6}$
b) $\frac{14}{9} \times \frac{7}{10}$
[14 和 10 都是 2 的倍数]
=$\frac{7}{9} \times \frac{7}{5}$
= $\frac{49}{45}$
c) $6 \frac{1}{4}+7 \frac{2}{5}$
=$\frac{25}{4}+7 \frac{2}{5}$ 4 和 5 的最小公倍数是 20
$ \frac{25}{4}+ \frac{32}{5}$
= $ \frac{125}{4}+ \frac{148}{5}$
= $\frac{273}{20}$
d)$-1 \frac{2}{3}c-6 \frac{4}{5}$
=$\frac{- 5}{3} - \frac{-34}{5}$
5 和 3 的最小公倍数是 15
= $\frac{-25}{15} + \frac{102}{15}$
= $\frac{77}{15}$
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