Question

How do you simplify `3 3/4+2 5/7`?

Answer 1

`181/28` or `6 13/28`

Explanation:

Step 1) Convert each Mixed fraction to an improper fraction. Multiply the integer by the appropriate form of `1` and add this to the fraction:

`(4/4*3 + 3/4) + ((7/7*2 + 5/7)`

`(12/4 + 3/4) + (14/7 + 5/7)`

`((12 + 3)/4) + ((14 + 5)/7)`

`15/4 + 19/7`

Step 2) Get each fraction over a common denominator, in this case (`4 xx 7 or 28`) by again multiplying the fraction by the appropriate form of `1`:

`(7/7xx 15/4) + (4/4 xx 19/7)`

`105/28 + 76/28`

`(105 + 76)/28`

`181/28`

Or

`168/28 + 13/28`

`6 + 13/28`

`6 13/28`