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Solve: 12+13+16

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Question

Solve:

`1/2 + 1/3 + 1/6`

Sum
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Solution

`1/2 + 1/3 + 1/6`

LCM of 2, 3 and 6 = 6

∴ `(1 xx 3)/(2 xx 3) + (1 xx 2)/(3 xx 2) + (1 xx 1)/(1 xx 6)`

= `3/6 + 2/6 + 1/6`

= `(3 + 2 + 1)/6`

= `6/6`

= 1

Hence, `1/2 + 1/3 + 1/6 = 1`

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