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Question
Simplify:
`(1/4 + 1/5)/(1 - 3/8 xx 3/5)`
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Solution
Given, `(1/4 + 1/5)/(1 - 3/8 xx 3/5)`
= `((5 + 4)/20)/(1 - 9/40)`
= `(9/20)/((40 - 9)/40)`
= `(9/20)/(31/40)`
= `9/20 xx 40/31` ...`[∵ "Reciprocal of" 31/40 = 40/31]`
= `18/31`
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