Pre-Algebra Examples

67.98 %

$67.98 %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{67.98}{100}

$\frac{67.98}{100}$

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{6798}{10000}

$\frac{6798}{10000}$

Step 3

Cancel the common factor of

6798

$6798$ and

10000

$10000$ .

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Step 3.1

Factor

2

$2$ out of

6798

$6798$ .

\frac{2 (3399)}{10000}

$\frac{2 (3399)}{10000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

2

$2$ out of

10000

$10000$ .

\frac{2 \cdot 3399}{2 \cdot 5000}

$\frac{2 \cdot 3399}{2 \cdot 5000}$

Step 3.2.2

Cancel the common factor.

\frac{2 \cdot 3399}{2 \cdot 5000}

$\frac{2 \cdot 3399}{2 \cdot 5000}$

Step 3.2.3

Rewrite the expression.

\frac{3399}{5000}

$\frac{3399}{5000}$

\frac{3399}{5000}

$\frac{3399}{5000}$

\frac{3399}{5000}

$\frac{3399}{5000}$

Step 4

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

0.6798

$0.6798$

67.98 %

$67.98 %$

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