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Question
Taking x = `(-4)/9`, y = `5/12` and z = `7/18`, find the rational number which subtracted from y gives z.
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Solution
Given, x = `(-4)/9`, y = `5/12` and z = `7/18`
Let we subtract A from y to get z.
∴ y – A = z
⇒ `5/12 - A = 7/18`
⇒ `-A = 7/18 - 5/12`
= `(7 xx 2 - 5 xx 3)/36` ...[∵ LCM of 18 and 12 = 36]
= `(14 - 15)/36`
= `(-1)/36`
⇒ `A = 1/36`
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