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Maths-

General

Easy

Question

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

hint Hint:

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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