Mixed numbers

A mixed number is the sum of a non-zero integer and a proper fraction.

$2\frac{2}{3}$ is a mixed number and so is $-2\frac{2}{3}$ .

$\frac{2}{3}$ is a proper fraction and not a mixed number.

$2\frac{2}{3}$ is like $2 + \frac{2}{3}$ but the plus sign isn’t written, only implied. $-2\frac{2}{3}$ is like $-(2 + \frac{2}{3})$ .

Improper fractions can be written as mixed numbers.

For example $\frac{8}{3}$ is equivalent to $\frac{6}{3} + \frac{2}{3}$ which is equivalent to $2 + \frac{2}{3}$ and can be written as a mixed number $2\frac{2}{3}$ .

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