Question

Find the sum and express it in it's lowest terms 3/11 + 2/3=

Answer 1

`(31)/(33)`

Explanation:

You need a common denominator to add. The smallest number that is divisible by both 11 and 3 is 33. Rewrite both fractions with a denominator of 33

`(3)/(11)` x
`(3)/(3)`
`(3)/(3)` is just another name for 1. We are making an equivalent fraction. Multiple 3 x3 for the top and 11 x 3 for the bottom to get:

`(9)/(33)`

Do the same for
`(2)/(3)`

`(2)/(3)` x
`(11)/(11)`
`(11)/(11)` is just another name for 1. We are making an equivalent fraction. Multiple 2 x 11 for the top and 3 x 11 for the bottom to get:

`(22)/(33)`

Now add these two fractions together:

`(9)/(33)` +
`(22)/(33)` =
`(31)/(33)`

Answer 2

3/11 + 2/3 is 31/33. It cannot be simplified more.