Question

How do you list these fractions `\frac { 1} { 2} ,\frac { 3} { 6} ,\frac { 1} { 10} ,\frac { 2} { 3}` in increasing order?

Answer 1

`1/10 < 1/2 = 3/6 < 20/30`

Explanation:

Let's find the common denominator:

`2, 6, 10, 3:`
`"LCD" = 30`

`1/2 = 15/30`
`3/6 = 15/30`
`1/10 = 3/30`
`2/3 = 20/30`

`1/10 < 1/2 = 3/6 < 2/3`