Question

How do you simplify `2/9 + 1/2`?

Answer 1

`13/18`

Explanation:

To simplify these fractions, you first need a common denominator. We can use the LCM of `9` and `2`, which is `18`.

`2/9=(2 " x " 2)/(9 " x " 2)=4/18`

`1/2=(1 " x " 9)/(2 " x " 9)=9/18`

Finally add your fractions together:

`4/18+9/18=color(red)(13/18)`

Because `13/18` can not be simplified any further (as `13` is prime), this is your final answer.

Answer 2

`13/18`

Explanation:

Firstly, you have to find the least common denominator between the two fractions. The lcd is 18 since 9 can be multiplied by 2 to get 18, and 2 can be multiplied by 9 to get 18. You must then multiply the numerator by the number you multiplied the denominator of the same fraction. Doing this you get:
`4/18`+`9/18`=`13/18`
This cannot be reduced any further, therefore `13/18` is your answer.