Question

How do write in simplest form given `4/3+4/3`?

Answer 1

`color(green)(8/3` or `color(green)(2 2/3)`
(depending upon which you find "simpler")

Explanation:

Given two fractions with equal denominators (that part on the bottom) simply keep the same denominator and add the numerators (the numbers on top) to get the sum.

`4/3+4/3 = (4+4)/3 = 8/3`

To convert to a mixed fraction, note that
`8/3 = (6+2)/3 = 6/3+2/3 = 2+ 2/3` (or as normally written: `2 2/3`)

Here it is in picture form:

Answer 2

`4/3+4/3" "=" "2 2/3`

Explanation:

`4/3+4/3" "=" "(4+4)/3" "=" "8/3`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

But `8/3` is the same as `" "3/3+3/3+2/3`
`color(white)(.)`

and `3/3=1` giving:

`color(white)(.)`

`1+1+2/3" "=" " 2 2/3`