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Question
Which is smaller? The difference between `2 1/2` and `3 2/3` or the sum of `1 1/2` and `2 1/4`
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Solution
Difference between `2 1/2` and `3 2/3 = 3 2/3 - 2 1/2`
= `11/3 - 5/2`
= `((11 xx 2) - (5 xx 3))/6`
= `(22 - 15)/6`
= `7/6`
= `1 1/6`
Sum of `1 1/2` and `2 1/4 = 1 1/2 + 2 1/4`
= `3/2 + 9/4`
= `6/4 + 9/4`
= `(6 + 9)/4`
= `15/4`
3
`4")"overline15`
12
3
= `3 3/4` Here `1 1/6 < 3 3/4`
∴ Difference between `2 2/1` and `3 2/3` is smaller.
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