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Easy

Question

What is the number that is to be subtracted from fraction numerator negative 7 over denominator 8 end fraction 𝑡𝑜 𝑔𝑒𝑡 fraction numerator negative 13 over denominator 12 end fraction

hintHint:

Frame the equation according to the question and then get the number to be
subtracted

The correct answer is: 5/24


    Given rational number = fraction numerator negative 7 over denominator 8 end fraction and let the other rational number to be subtracted from
    fraction numerator negative 7 over denominator 8 end fraction =  x
    On subtraction, we get the result to be fraction numerator negative 13 over denominator 12 end fraction
    That is, we have fraction numerator negative 7 over denominator 8 end fraction minus x equals fraction numerator negative 13 over denominator 12 end fraction
    On rearranging the equation, we get  x equals 13 over 12 plus fraction numerator negative 7 over denominator 8 end fraction
    On taking LCM of 12 and 8 , we have 24 as the LCM.
    not stretchy rightwards double arrow x equals fraction numerator 13 cross times 2 over denominator 12 cross times 2 end fraction plus fraction numerator negative 7 cross times 3 over denominator 8 cross times 3 end fraction
    not stretchy rightwards double arrow x equals 26 over 24 minus 21 over 24
    not stretchy rightwards double arrow x equals 5 over 24

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