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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`
We have, (x ÷ y) × z
= `((-4)/9 ÷ 5/12) xx 7/18`
= `((-4)/9 xx 12/5) xx 7/18` ...`[∵ "Reciprocal of" 5/12 = 12/5]`
= `(-4 xx 12 xx 7)/(9 xx 5 xx 18)` ...`[∵ "Product of rational numbers" = "Product of numerators"/"Product of denominators"]`
= `(-56)/135`
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