Pre-Algebra Examples

1.25 %

$1.25 %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{1.25}{100}

$\frac{1.25}{100}$

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{125}{10000}

$\frac{125}{10000}$

Step 3

Cancel the common factor of

125

$125$ and

10000

$10000$ .

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Step 3.1

Factor

125

$125$ out of

125

$125$ .

\frac{125 (1)}{10000}

$\frac{125 (1)}{10000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

125

$125$ out of

10000

$10000$ .

\frac{125 \cdot 1}{125 \cdot 80}

$\frac{125 \cdot 1}{125 \cdot 80}$

Step 3.2.2

Cancel the common factor.

$\frac{125 \cdot 1}{125 \cdot 80}$

Step 3.2.3

Rewrite the expression.

$\frac{1}{80}$

Step 4

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

$0.0125$