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Question
Taking x = `(-4)/9`, y = `5/12` and z = `7/18`, find the rational number which when added to x gives y.
Solution
Given, x = `(-4)/9`, y = `5/12` and z = `7/18`
Let we add A to x get y
∴ A + x = y
⇒ `A + ((-4)/9) = 5/12`
⇒ A = `5/12 - (-4/9)` = `5/12 + 4/9` = `(5 xx 3 + 4 xx 4)/36` .....[∵ LCM of 12 and 9 = 36]
= `(15 + 16)/36`
= `31/36`
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