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:

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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