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Question
Taking x = `(-4)/9`, y = `5/12` and z = `7/18`, find the sum of reciprocals of x and y.
Sum
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Solution
Given, x = `(-4)/9`, y = `5/12` and z = `7/18`
Reciprocal of x and y is `1/x` and `1/y`.
∴ Sum of reciprocals = `1/x + 1/y = 1/((-4)/9) + 1/(5/12)`
= `(-9)/4 + 12/5`
= `(-45 + 48)/20` ...[∵ LCM of 4 and 5 = 20]
= `3/20`
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