Question

Which set of fractions is ordered from least to greatest 5/8, 8/12, 3/4

Answer 1

`(5)/(8)` ,
`(8)/(12)` ,
`(3)/(4)`

Explanation:

we are given fractions as

`(5)/(8)` ,
`(8)/(12)` ,
`(3)/(4)`

Firstly, we will make denominators of all terms same

We can see that denominators are 8 , 12 , 4

Firstly, we will find LCD

LCD of 8,12,4=24

so, we will make all terms as same denominator

`(5)/(8)`

We will multiply top and bottom by 3

`(5)/(8)=(3* 5)/(3* 8)`

`(5)/(8)=(15)/(24)`

`(8)/(12)`

We will multiply top and bottom by 2

`(8)/(12)=(2* 8)/(2* 12)`

`(8)/(12)=(16)/(24)`

`(3)/(4)`

We will multiply top and bottom by 6

`(3)/(4)=(6* 3)/(6* 4)`

`(3)/(4)=(18)/(24)`

Since, denominators are same

so, we can compare numerators

15<16<18

so, order from least to greatest is

`(5)/(8)` ,
`(8)/(12)` ,
`(3)/(4)`