What is 11/3 in a mixed number?

1 Answer
Apr 10, 2018

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