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How quickly can you do this? Fill approp...

How quickly can you do this? Fill appropriate sign. `(< = > )`

Text Solution

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(a) `1/2 [_] 1/5`
The numerators of two given fractions are the same. So, the fraction that has the lesser denominator is the largest. Here,` 5 gt 2`. So `1/2 [gt] 1/5`
(b) `2/4 [_] 3/6`
`2/4` and `3/6` can be both simplified to `1/2` and hence they are equal. So `2/4 [=] 3/6`.
(c) `3/5 [_] 2/3`
Multiplying each to make denominators equal, we have `3/5 = 9/15` and `2/3 = 10/15`. Here, for `9/15` and `10/15`, `9 lt 10`. The denominators of two given fractions are the same. So, the fraction that has the greater numerator is the largest. So `3/5 [lt] 2/3`
(d) `3/4 [_] 2/8`
Multiplying each to make denominators equal, we have `3/4 = 6/8` and `2/8 = 2/8`. Here, for `6/8` and `2/8, 6 lt 2`. The numerators of two given fractions are the same. So, the fraction that has the lesser denominator is the largest. So `3/4 [lt] 2/8`
(e) `3/5 [_] 6/5`
The denominators of two given fractions are the same. So, the fraction that has the greater numerator is the largest. So, `3/5 [lt] 6/5`
(f) `7/9 [_] 3/9`
The denominators of two given fractions are the same. So, the fraction that has the greater numerator is the largest. So, `7/9 [gt] 3/9`
(g) `1/4 [_] 2/8`
`1/4` and `2/8`can be both simplified to `1/4` and hence they are equal. So `1/4 [=] 2/8`.
(h) `6/10 [_] 4/5`
Multiplying each to make denominators equal, we have `6/10 = 6/10` and 4`/5 = 8/10`. Here, for `6/10 and 8/10, 6 lt 8`. The denominators of two given fractions are the same. So, the fraction that has the greater numerator is the largest. So` 6/10 [lt] 4/5`
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