Question

What is 11/3 in a mixed number?

Answer 1

`11/3` as a mixed number is `3 2/3`.

Explanation:

We can convert improper fractions to mixed numbers through long division. So, `11/3` can also be seen as 11 divided by 3.

Setting up the division:

`color(white)(xxxxx)3 color(white)(x)2/3 color(white)(xxxxxxxx)`
# color(white)(xx) 3| bar(11color(white)(x)) color(white)(x) color(white)(x) color(white)(x) color(white)(x) color(white)(xxx)#
`color(white)(xxxx)ul(color(white)(x)9)color(white)(darr`
`color(white)(xxxxx)2 color(white)(x)`

Because three goes into eleven `3` whole times and we get a remainder of `2` ("leftover" is `2/3`) :
`11/3 = 3 2/3`