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Question
Complete the addition-subtraction box.
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Solution
`1/2 + 1/3`
= `[(1 xx 3) + (1 xx 2)]/6`
= `(3 + 2)/6`
= `5/6`
`1/3 + 1/4`
= `[(1 × 4) + (1 xx 3)]/12`
= `(4 + 3)/12`
= `7/12`
`1/2 - 1/3`
= `[(1 xx 3) – (1 xx 2)]/6`
= `(3 - 2)/6`
= `1/6`
`1/3 - 1/4`
= `[(1 xx 4) – (1 xx 3)]/12`
= `(4 - 3)/12`
= `1/12`
`1/6 + 1/12`
= `[(1 xx 2) + 1]/12`
= `(2 + 1)/12`
= `3/12`
= `1/4`
Hence, the complete given box is
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