Question

How do you order `1/3, 4/6,3/5,1/2,1/4,5/6,2/5` from least to greatest?

Answer 1

`1/4color(white)(xx)1/3color(white)(xx)2/5color(white)(xx)1/2color(white)(xx)3/5color(white)(xx)4/6color(white)(xx)5/6`

Explanation:

Change them all to the same denominator. LCD = 60

`1/3, color(white)(xxxx)4/6,color(white)(xxx)3/5,color(white)(xxxxx)1/2,color(white)(xxxx)1/4,color(white)(xxx)5/6,color(white)(xxx)2/5`

`20/60, color(white)(xxx)40/60,color(white)(xxx)36/60,color(white)(xxx)30/60,color(white)(xxx)15/60,color(white)(xxx)50/60,color(white)(xxx)24/56`

Now put them in order, using the original fractions.

`1/4color(white)(xxxx)1/3color(white)(xxxx)2/5color(white)(xxxx)1/2color(white)(xxxx)3/5color(white)(xxxx)4/6color(white)(xxxx)5/6`