Question

2÷5×-3÷7-1÷14-3÷7×3÷5

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Answer 1

Step-by-step explanation:

Hii,

- 0.5 is the answer

Bye

Answer 2

Step-by-step explanation:

$\bf \underline{Given-}$

$\sf{ \frac{2}{5} \times \frac{ - 3}{7} - \frac{1}{14} - \frac{3}{7} \times \frac{3}{5} }$

$\bf \underline{To\: find-}$

$\textsf{Simplified form = ?}$

$\bf \underline{Solution-}$

$\textsf{Given fraction expression,}$

$\sf{ \frac{2}{5} \times \frac{ - 3}{7} - \frac{1}{14} - \frac{3}{7} \times \frac{3}{5} }$

$\sf{ \Rightarrow} \: \frac{2}{5} \times \frac{ - 3}{7} - \frac{3}{7} \times \frac{3}{5} - \frac{1}{14} \: \: \: [by\: sequentially \: interchangeable]$

$\sf{ \Rightarrow} \: \frac{2}{5} \times \frac{ - 3}{7} + \bigg( \frac{ - 3}{7} \bigg) \times \frac{3}{5} - \frac{1}{14}$

$\sf{ \Rightarrow} \: \frac{ - 3}{7} \bigg( \frac{3}{5} + \frac{3}{5} \bigg) - \frac{1}{14}$

$\sf{ \Rightarrow} \: \frac{ - 3}{7} \bigg( \frac{2 + 3}{5} \bigg) - \frac{1}{14} \: \: \: \: \: \: \: [by \: distribution ]$

$\sf{ \Rightarrow} \: - \frac{3}{7} \times 1 - \frac{1}{14}$

$\sf{ \Rightarrow} \: - \frac{3}{7} - \frac{1}{14}$

$\textsf{Take the LCM of 7 and 14 is 14.}$

$\sf{ \Rightarrow} \: \frac{ - 6 - 1}{14}$

$\sf{ \Rightarrow} \: \frac{ - 7}{14}$

$\sf{ \Rightarrow} \: - \frac{1}{2}$

$\bf \underline{Answer-}$

$\bf{ \underline{ Hence, the \: value \: of \: Simplified \: form \: of : \: \frac{2}{3} \times \frac{ - 3}{7} - \frac{1}{14} - \frac{3}{7} \times \frac{3}{5} \: is \: - \frac{1}{2} .}}$