Question

Will someone please tell me how i am supposed to do this problem for my math homework??

Answer 1

`(7)/(9) + ((2 * 3))/((3 * 3)) \\ (7)/(9) + (6)/(9) \\ (13)/(9)`

Answer 2

Hey!

Here is the equation:

`(7)/(9) + (2)/(3)`

The denominator for the two fractions are:

`9` and
`3`

Since they DO NOT have the same denominator, you need to change them. To do that, first find the LCM of the 2 numbers by listing their multiples and finding the common ones.

3 - 3, 6, 9, 12, 15, 18

9 - 9, 18, 27, 36, 45

In the multiples listed above, the common ones are 9 and 18. Since 9 is less than 18, the new denominator should be 9. Now you can change the fractions.

`(7 * 1)/(9 * 1) = (7)/(9)`

`(2 * 3)/(3 * 3) = (6)/(9)`

Here is your new equation:

`(7)/(9) + (6)/(9)`

Add the fractions:

`(7)/(9) + (6)/(9) = (13)/(9)`

`(13)/(9)` is an improper fraction, so you can simplify it.

`(13)/(9) \rightarrow 1 (4)/(9)`

Your answer is:
`1 (4)/(9)`

Good luck! If you have any questions, feel free to ask in the comments!