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Question
Taking x = `(-4)/9`, y = `5/12` and z = `7/18`, find x ÷ (y ÷ z).
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Solution
Given, x = `(-4)/9`, y = `5/12` and z = `7/18`
Here, x ÷ (y ÷ z) = `(-4)/9 ÷ (5/12 ÷7/18)`
= `(-4)/9 ÷ (5/12 xx 18/7)` ...`[∵ "Reciprocal of" 7/18 = 18/7]`
= `(-4)/9 ÷ 15/14`
= `(-4)/9 xx 14/15` ...`[∵ "Reciprocal of" 15/14 = 14/15]`
= `(-56)/135`
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