Question

By what number should 44 by -7 be divided to get minus 11 by 3

Answer 1

SOLUTION

The number should $\displaystyle \sf{ \frac{44}{ - 7} }$ be divided to get $\displaystyle \sf{ \frac{ - 11}{ 3} }$

EVALUATION

Let N be the required number

Now the two given numbers are

$\displaystyle \sf{ \frac{44}{ - 7} = - \frac{44}{7} }$

$\displaystyle \sf{ \frac{ - 11}{ 3} = - \frac{11}{3} }$

So by the given condition

$\displaystyle \sf{ - \frac{44}{ 7} \div N= - \frac{11}{3} }$

$\displaystyle \sf{ \implies \: \frac{- \frac{44}{ 7}}{N} = - \frac{11}{3} }$

$\displaystyle \sf{ \implies \: \frac{- 44}{7N} = - \frac{11}{3} }$

$\displaystyle \sf{ \implies \: \frac{44}{7N} = \frac{11}{3} }$

$\displaystyle \sf{ \implies \: N = \frac{44}{7} \times \frac{3}{11} }$

$\displaystyle \sf{ \implies \: N = \frac{12}{7} }$

FINAL ANSWER

Hence the required number $\displaystyle \sf{ = \frac{12}{7} }$

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