Convert to a Mixed Number 34/6

$\frac{34}{6}$

Step 1

Reduce the expression $\frac{34}{6}$ by cancelling the common factors.

Factor $2$ out of $34$ .

$\frac{2 (17)}{6}$

Factor $2$ out of $6$ .

$\frac{2 \cdot 17}{2 \cdot 3}$

Cancel the common factor.

$\frac{2 \cdot 17}{2 \cdot 3}$

Rewrite the expression.

$\frac{17}{3}$

Step 2

Set up the division problem in long division format.

$3$

$1$

$7$

Step 3

Divide $17$ by $3$ . Place this digit in the quotient on top of the division symbol.

		$5$
$3$	$1$	$7$

Step 4

Multiply the newest quotient digit $(5)$ by the divisor $3$ .

Step 5

Subtract $15$ from $17$ .

Step 6

The result of division of $\frac{17}{3}$ is $5$ with a remainder of $2$ .

$5 \frac{2}{3}$