Algebra Examples

5.25 %

$5.25 %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{5.25}{100}

$\frac{5.25}{100}$

Step 2

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there are

2

$2$ numbers to the right of the decimal point, move the decimal point

2

$2$ places to the right.

\frac{525}{10000}

$\frac{525}{10000}$

Step 3

Cancel the common factor of

525

$525$ and

10000

$10000$ .

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Step 3.1

Factor

25

$25$ out of

525

$525$ .

\frac{25 (21)}{10000}

$\frac{25 (21)}{10000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

25

$25$ out of

10000

$10000$ .

\frac{25 \cdot 21}{25 \cdot 400}

$\frac{25 \cdot 21}{25 \cdot 400}$

Step 3.2.2

Cancel the common factor.

\frac{25 \cdot 21}{25 \cdot 400}

$\frac{25 \cdot 21}{25 \cdot 400}$

Step 3.2.3

Rewrite the expression.

\frac{21}{400}

$\frac{21}{400}$

\frac{21}{400}

$\frac{21}{400}$

\frac{21}{400}

$\frac{21}{400}$

Step 4

Convert the fraction to a decimal by dividing the numerator by the denominator.

0.0525

$0.0525$