Question

4 4/5 ÷ 3/5 of 5+4/5×3/10 -1/5​

Answer 1

Correct Question's Answer :-

$\purple{{\bf \leadsto \dfrac{24}{5} \div \dfrac{3}{5} \times \dfrac{5}{1} + \dfrac{4}{5} \times \dfrac{3}{10} - \dfrac{1}{5}}}$

${\tt \leadsto \dfrac{24}{5} \div \dfrac{3}{5} = \dfrac{24}{5} \times \dfrac{5}{3}}$

${\tt \leadsto \dfrac{24 \times 5}{5 \times 3} = \dfrac{120}{15} = \dfrac{8}{1}}$

${\tt \leadsto \dfrac{8}{1} \times \dfrac{5}{1} = \dfrac{40}{1}}$

${\tt \leadsto \dfrac{40}{1} + \dfrac{4}{5} \times \dfrac{3}{10}}$

${\tt \leadsto \dfrac{40}{1} + \cancel \dfrac{12}{50} = \dfrac{40}{1} + \dfrac{6}{25}}$

LCM of 1 and 25 is 25.

${\tt \leadsto \dfrac{40 \times 25}{1 \times 25} + \dfrac{6}{25} = \dfrac{1000}{25} + \dfrac{6}{25}}$

${\tt \leadsto \dfrac{1000 + 6}{25} - \dfrac{1}{5} = \dfrac{1006}{25} - \dfrac{1}{5}}$

LCM of 25 and 5 is 25.

${\tt \leadsto \dfrac{1006}{25} - \dfrac{1 \times 5}{5 \times 5}}$

${\tt \leadsto \dfrac{1006}{25} - \dfrac{5}{25} = \dfrac{1001}{25}}$

$\purple{{\tt \leadsto \dfrac{1001}{25} = \boxed{\tt 40 \dfrac{1}{25}}}}$

$\therefore$ The final answer of the sum is $\purple{{\tt 40 \dfrac{1}{25}}}$.

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