Question

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

Answer 1

`=41/28 = 1 13/28`

Explanation:

`5/7+3/4`

`= (5xx4)/(7xx4)+(3xx7)/(4xx7)` [Since Lowest Common Multiple = 28]

`= 20/28+21/28`

`= (20+21)/28`

`= 41/28`

`= 1 13/28`

Answer 2

`41/28`

Explanation:

To add fractions, we need to find a common denominator. The easiest way to so multiply each fraction by the other denominator:

`4/4 xx 5/7 + 3/4 xx 7/7`

The reason we multiply by `4/4` and `7/7` is that these are really `1`. When we multiply by `1` we technically don't change the value of the number

`20/28 + 21/28`

`(20+21)/28`

`41/28`

Now we simplify this:

`(41 xx 1)/(2 xx 2 xx 7)`

`41` is a prime number, so we actually can't simplify this further