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Question
Taking x = `(-4)/9`, y = `5/12` and z = `7/18`, find the rational number which when added to z gives us x.
Solution
Given, x = `(-4)/9`, y = `5/12` and z = `7/18`
Let A be added to z to give x
∴ A + z = x
⇒ `A + 7/18 = (-4)/9`
⇒ A = `(-4)/9 - 7/18` = `(-4 xx 2 - 7 xx 1)/18` ......[∵ LCM of 9 and 18 = 18]
= `(-8 - 7)/18`
= `(-15)/18`
=`(-5)/6`
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