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 $25$ .

Step 7

Subtract $75$ from $92$ .

Step 8

The result of division of $\frac{92}{25}$ is $3$ with a remainder of $17$ .

$3 \frac{17}{25}$