Convert to a Mixed Number 75/9

$\frac{75}{9}$

Step 1

Reduce the expression $\frac{75}{9}$ by cancelling the common factors.

Factor $3$ out of $75$ .

$\frac{3 (25)}{9}$

Factor $3$ out of $9$ .

$\frac{3 \cdot 25}{3 \cdot 3}$

Cancel the common factor.

$\frac{3 \cdot 25}{3 \cdot 3}$

Rewrite the expression.

$\frac{25}{3}$

Step 2

Set up the division problem in long division format.

$3$

$2$

$5$

Step 3

Divide $25$ by $3$ . Place this digit in the quotient on top of the division symbol.

		$8$
$3$	$2$	$5$

Step 4

Multiply the newest quotient digit $(8)$ by the divisor $3$ .

Step 5

Subtract $24$ from $25$ .

Step 6

The result of division of $\frac{25}{3}$ is $8$ with a remainder of $1$ .

$8 \frac{1}{3}$