Solve The Following
(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) $\frac{14}{9} \times \frac{7}{10}$

[Both 14 and 10 are factors of 2]

=$\frac{7}{9} \times \frac{7}{5}$ 

= $\frac{49}{45}$

c) $6 \frac{1}{4}+7 \frac{2}{5}$

 =$\frac{25}{4}+7 \frac{2}{5}$ LCM of 4 and 5 is 20

$ \frac{25}{4}+ \frac{32}{5}$

= $ \frac{125}{4}+ \frac{148}{5}$

= $\frac{273}{20}$

d)$-1 \frac{2}{3}c-6 \frac{4}{5}$

=$\frac{- 5}{3} - \frac{-34}{5}$

LCM of 5 and 3 is 15

= $\frac{-25}{15} + \frac{102}{15}$

= $\frac{77}{15}$

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Updated on: 10-Oct-2022

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