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Look at the figures and write < or > = ...

Look at the figures and write `< or > = ` between the given pairs of fractions (a) (b) (c) (d) (e) .

Text Solution

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(a) `1/6 [lt] 1/3` - The numerators of two given fractions are the same. So, the fraction that has the lesser denominator is the largest.
(b) `3/4 [gt] 2/6` - Cross multiplying the denominators and the numerators, we have `3/4 =9/12` and `2/6=4/12` Here, for `9/12` and `4/12`, `9 gt4`. The denominators of the two fractions are the same. So, the fraction that has the greater numerator is the largest.
(c) `2/3 [gt] 2/4` - The numerators of two given fractions are the same. So, the fraction that has the lesser denominator is the largest.
(d) `6/6 [=] 3/3 - 6/6 and 3/3` can be both simplified to `1` and hence they are equal.
(e) `5/6 [lt] 5/5` - The numerators of two given fractions are the same. So, the fraction that has the lesser denominator is the largest.
Five more such problems are:a) `1/8 [lt] 1/4`
(b) `6/8 [gt] 4/12`
(c) `4/6 [gt] 4/8`
(d) `4/4 (=) 2/2`
(e) `10/12 [lt] 10/10`
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