Question

Order the numbers from least to greatest.
3 39/40, 3 19/20, 3 1/2

Answer 1

3 1/2 , 3 19/20 , 3 39/40

Answer 2

`3(1)/(2) < 3(19)/(20) < 3(39)/(40)`

Explanation:

Given numbers,

`3(39)/(40), 3(19)/(20), 3(1)/(2)`

`=(159)/(40), (79)/(20), (7)/(2)`

Since, LCM( 40, 20, 2 ) = 40,

So, we need to make denominator 40 of all fractions for comparing them,

`(159)/(40), (158)/(40), (140)/(40)`

We know that,

`(140)/(40) < (158)/(40) < (159)/(40)`

`\implies 3(1)/(2) < 3(19)/(20) < 3(39)/(40)`

Which is the required order.