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Question
Simplify: `(2 1/2 + 1/5)/(2 1/2 ÷ 1/5)`
Solution
Given, `(2 1/2 + 1/5)/(2 1/2 ÷ 1/5)`
= `(((2 xx 2) + 1)/2 + 1/5)/(((2 xx 2) + 1)/2 ÷ 1/5)`
= `(5/2 + 1/5)/(5/2 ÷ 1/5)`
= `((25 + 2)/10)/(5/2 xx 5)` ......`[∵ "Reciprocal of" 1/5 = 5]`
= `(27/10)/(25/2)`
= `27/10 xx 2/25` ......`[∵ "Reciprocal of" 25/2 = 2/25]`
= `27/125`
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