Question

What is - ⅓ + ⅖? Please don't only say the answer but also show work!!

Answer 1

`-(1)/(3)\text{ + }(2)/(5)`

First, we must have the same bottom numbers (denominators) to add the fractions.

To do that, we can multiply the first fraction by 5 (top and bottom numbers) and the second fraction by 3.

`-\frac{1}{3\text{ }}\text{ (}(5)/(5))\text{ + }(2)/(5)\text{ (}(3)/(3))`
`-\text{ }(5)/(15)+(6)/(15)`

Now that both denominators are equal we can add the numerators (top numbers)

`(-5+6)/(15)\text{ }`
`(1)/(15)`