Question

Specify three fractions with different denominators that have a LCD of 24 then arrange the fractions in order from least to greatest.

Answer 1

We can just guess 20/24, 10 / 24 and 8 / 24

From the least to the greatest:

8/24, 10/24, 20/24

8/24 = 1/3 10/24 = 5/12 20/24 = 5/6

So it is:

1/3, 5/12, 5/6

I hope this helps.

Answer 2

`\displaystyle(7)/(12)< (5)/(8)< (2)/(3)`

Explanation:

We are given the following fractions:

`\displaystyle(7)/(12), (5)/(8), (2)/(3)`

Taking the LCD of the denominator which is 24, we have,

`\displaystyle(7* 2)/(12* 2), (5* 3)/(8* 3), (2* 8)/(3* 8)\\\\= (14)/(24), (15)/(24), (16)/(24)`

Now arranging them in order from least to great we have:

`\displaystyle(14)/(24) < (15)/(24) < (16)/(24)\\\\\displaystyle(7)/(12)<(5)/(8)< (2)/(3)`