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Maths-

General

Easy

Question

By what rational number should we multiply $fraction numerator negative 15 over denominator 56 end fraction$ to get $fraction numerator negative 10 over denominator 7 end fraction$

hint Hint:

Divide the given rational number by the result.

The correct answer is: 16/3

Given rational number = $fraction numerator negative 15 over denominator 56 end fraction$ and let the other rational number be
On multiplication, we get the result to be $fraction numerator negative 10 over denominator 7 end fraction$
That is, we have $fraction numerator negative 15 over denominator 56 end fraction x equals fraction numerator negative 10 over denominator 7 end fraction$
On dividing both sides by $fraction numerator negative 15 over denominator 56 end fraction$ ,
we get $x equals fraction numerator negative 10 over denominator 7 end fraction divided by fraction numerator negative 15 over denominator 56 end fraction$
$not stretchy rightwards double arrow x equals fraction numerator negative 10 over denominator 7 end fraction cross times fraction numerator negative 56 over denominator 15 end fraction equals 560 over 105$
$not stretchy rightwards double arrow x equals 16 over 3$

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