Algebra Examples

$125 %$

Step 1

Convert $125 %$ to a fraction.

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Step 1.1

Convert the percentage to a fraction by placing the expression over $100$ . Percentage means 'out of $100$ '.

$\frac{125}{100}$

Step 1.2

Cancel the common factor of $125$ and $100$ .

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Step 1.2.1

Factor $25$ out of $125$ .

$\frac{25 (5)}{100}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $25$ out of $100$ .

$\frac{25 \cdot 5}{25 \cdot 4}$

Step 1.2.2.2

Cancel the common factor.

$\frac{25 \cdot 5}{25 \cdot 4}$

Step 1.2.2.3

Rewrite the expression.

$\frac{5}{4}$

Step 2

Set up the division problem in long division format.

$4$

$5$

Step 3

Divide $5$ by $4$ . Place this digit in the quotient on top of the division symbol.

	$1$
$4$	$5$

Step 4

Multiply the newest quotient digit $(1)$ by the divisor $4$ .

Step 5

Subtract $4$ from $5$ .

Step 6

The result of division of $\frac{5}{4}$ is $1$ with a remainder of $1$ .

$1 \frac{1}{4}$