Convert to a Mixed Number 4.6/1.25

$\frac{4.6}{1.25}$

Step 1

Multiply the numerator and denominator by

$10$ .

$\frac{46}{12.5}$

Step 2

Multiply the numerator and denominator by

$10$ .

$\frac{460}{125}$

Step 3

Reduce the expression

$\frac{460}{125}$ by cancelling the common factors.

Factor

$5$ out of

$460$ .

$\frac{5 (92)}{125}$

Factor

$5$ out of

$125$ .

$\frac{5 \cdot 92}{5 \cdot 25}$

Cancel the common factor.

$\frac{5 \cdot 92}{5 \cdot 25}$

Rewrite the expression.

$\frac{92}{25}$

Step 4

Set up the division problem in long division format.

$2$

$5$

$9$

$2$

Step 5

Divide

$92$ by

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

			$3$
$2$	$5$	$9$	$2$

Step 6

Multiply the newest quotient digit

$(3)$ by the divisor

$25$ .

			$3$
$2$	$5$	$9$	$2$
	$-$	$7$	$5$

Step 7

Subtract

$75$ from

$92$ .

			$3$
$2$	$5$	$9$	$2$
	$-$	$7$	$5$
		$1$	$7$

Step 8

The result of division of

$\frac{92}{25}$ is

$3$ with a remainder of

$17$ .

$3 \frac{17}{25}$

Convert to a Mixed Number 4.6/1.25

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