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Question
Taking x = `(-4)/9`, y = `5/12` and z = `7/18`, find (x – y) + z.
Sum
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Solution
Given, x = `(-4)/9`, y = `5/12` and z = `7/18`
We have, (x – y) + z = `((-4)/9 - 5/12) + 7/18`
= `(-4 xx 4 - 5 xx 3)/36 + 7/18` ...[∵ LCM of 9 and 12 = 36]
= `(-16 - 15)/36 + 7/18`
= `((-31)/36 + 7/18)`
= `(-31 + 7 xx 2)/36`
= `(-31 + 14)/36`
= `(-17)/36`
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