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Question
Taking x = `(-4)/9`, y = `5/12` and z = `7/18`, find x – (y + z).
Solution
Given, x = `(-4)/9`, y = `5/12` and z = `7/18`
Here, x – (y + z) = `(-4)/9 - (5/12 + 7/18)`
= `(-4)/9 - ((5 xx 3 + 7 xx 2)/36)`
= `(-4)/9 - ((15 + 14)/36)` ......[∵ LCM of 12 and 18 = 36]
= `(-4)/9 - 29/36`
= `(-4 xx 4 - 29)/36`
= `(-16 - 29)/36`
= `(-45)/36`
= `(-5)/4`
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