Question

Add.

​ 6 38/45+2 5/9 ​

Enter your answer in the box as a mixed number in simplest form.

Answer 1

9
`(2)/(5)`

Explanation:

6
`(38)/(45)` + 2
`(5)/(9)` Use a common denominator of 45 so that you can add together

6
`(38)/(45)` + 2
`(25)/(45)` Multiply the top and bottom of the second fraction by 5

8
`(63)/(45)`

8 +
`(45)/(45)` +
`(18)/(45)` I broke up
`(63)/(45)` because I know that
`(45)/(45)` is another name for 1

8 + 1 +
`(18)/(45)`

9
`(18)/(45)` Divide the numerator and the denominator by 9 to simplify

9
`(2)/(5)`

Answer 2

28 1/5

Explanation:

​ 6 38/45+2 5/9 ​

6 38/45 = 308/45

2 5/9 = 23/9

The common factor is 45

308/45 + 115/45 = 423/15 = 141/5

141/5 = 28 1/5