Question

How do you simplify `3 1/3 + 2 4/5`?

Answer 1

`3 1/3+2 4/5=color(green)(6 2/15)`

Explanation:

`3 1/3+2 4/5`

`color(white)("XXX")=3+2+1/3+4/5`

Convert the fractions so they have the same denominators
`color(white)("XXX")=3+2+5/15+12/15`

Add the fractions
`color(white)("XXX")=3+2+17/15`

Convert the improper fraction into a mixed fraction
`color(white)("XXX")=3+2+1+2/15`

Add the integer terms
`color(white)("XXX")=6+2/15`

Write as a standard mixed fraction
`color(white)("XXX")=6 2/15`