Pre-Algebra Examples

5.75 %

$5.75 %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{5.75}{100}

$\frac{5.75}{100}$

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{575}{10000}

$\frac{575}{10000}$

Step 3

Cancel the common factor of

575

$575$ and

10000

$10000$ .

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Step 3.1

Factor

25

$25$ out of

575

$575$ .

\frac{25 (23)}{10000}

$\frac{25 (23)}{10000}$

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 23}{25 \cdot 400}

$\frac{25 \cdot 23}{25 \cdot 400}$

Step 3.2.2

Cancel the common factor.

\frac{25 \cdot 23}{25 \cdot 400}

$\frac{25 \cdot 23}{25 \cdot 400}$

Step 3.2.3

Rewrite the expression.

\frac{23}{400}

$\frac{23}{400}$

\frac{23}{400}

$\frac{23}{400}$

\frac{23}{400}

$\frac{23}{400}$

Step 4

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

0.0575

$0.0575$

5.75 %

$5.75 %$

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