Convert between an improper fraction and a mixed number

We know an improper fraction is a fraction with bigger numbers on the top than the bottom numbers, and a mixed number is a whole number (integer) and a fraction.

Example

Improper fraction is $8/3$

Mixed number is $2\2/3$

To convert from $8/3$ to $2\2/3$

To convert $8/3$ do what it says i.e $8div3$
improper fraction think DIVIDE

So $8/3$ is $8$ divided by $3$

$16/5$ is $16$ divided by $5$

$7/3$ is $7$ divided by $3$

Example 1

Convert $8/3$ to a mixed number

$8/3$ is $8$ divided by $3$

$3$ into $8$ is $2$ with a remainder of $2$

So $8/3=2$ remainder $2/3$

$8/3=2\2/3$

Example 2

Convert $13/3$ to a mixed number

$13/3$ is $13$ divided by $3$

$3$ into $13$ is $4$ with a remainder of $1$

So $13/3=4$ remainder $1/3$

$13/3=4\1/3$

Example 3

Convert $17/6$ to a mixed number

$17/6$ is $17$ divided by $6$

$6$ into $17$ is $2$ with a remainder of $5$

So $17/6=2$ remainder $5/6$

$17/6=2\5/6$