Question

QUESTION:-

What should be Added to

$( \frac{1}{( - 2)} - \frac{3}{4}of \: \frac{( - 8)}{15})$
So the sum is the product of
$\frac{( - 7)}{50} and \: 1 \frac{1}{14}$
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Answer 1

Answer:

Let the number be x.

Step-by-step explanation:

$\sf\big\{ \dfrac{ - 1}{2} - \big( \dfrac{ - 3}{4} \times \dfrac{ - 8}{15}\big) \big\} + x\\ \\ \sf\big \{ \: \dfrac{ - 1}{2} + \dfrac{2}{5} \big \} + x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\sf \dfrac{-1}{10} + x$

Given,

the sum is equal to the product of $\sf \dfrac{-7}{50}$ and $\sf \dfrac{15}{14}$

Solving,

$\sf \: \dfrac{ - 1}{10} + x = \big \{ \dfrac{ - 7}{50} \times \dfrac{15}{14} \big \} \\ \\ \sf \: \dfrac{ - 1}{10} + x = \dfrac{ - 3}{20} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\\sf x = \frac{ - 3}{20} + \frac{1}{10} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \: x = \frac{ - 3 + 2}{20} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\\sf x = \frac{ - 1}{20}$

Hope it helps.