Maths-
General
Easy

Question

By what rational number fraction numerator negative 8 over denominator 39 end fraction should  be multiplied to obtain 5 over 26 ?

hintHint:

Divide the given rational number by the result.

The correct answer is: 5/26


    Complete step by step solution:
    Given rational number = fraction numerator negative 8 over denominator 39 end fraction and let the other rational number be x
    On multiplication, we get the result to be 5 over 26
    That is, we have fraction numerator negative 8 over denominator 39 end fraction x equals 5 over 26
    On dividing both sides by fraction numerator negative 8 over denominator 39 end fraction,

    we get x equals 5 over 26 divided by fraction numerator negative 8 over denominator 39 end fraction

    not stretchy rightwards double arrow x equals 5 over 26 cross times fraction numerator 39 over denominator negative 8 end fraction equals fraction numerator negative 15 over denominator 16 end fraction

    not stretchy rightwards double arrow x equals fraction numerator negative 15 over denominator 16 end fraction
    So, fraction numerator negative 15 over denominator 16 end fraction must be multiplied with fraction numerator negative 8 over denominator 39 end fraction  to get 5 over 26.

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