Algebra Examples

7.5 %

$7.5 %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{7.5}{100}

$\frac{7.5}{100}$

Step 2

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

1

$1$ number to the right of the decimal point, move the decimal point

1

$1$ place to the right.

\frac{75}{1000}

$\frac{75}{1000}$

Step 3

Cancel the common factor of

75

$75$ and

1000

$1000$ .

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Step 3.1

Factor

25

$25$ out of

75

$75$ .

\frac{25 (3)}{1000}

$\frac{25 (3)}{1000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

25

$25$ out of

1000

$1000$ .

\frac{25 \cdot 3}{25 \cdot 40}

$\frac{25 \cdot 3}{25 \cdot 40}$

Step 3.2.2

Cancel the common factor.

$\frac{25 \cdot 3}{25 \cdot 40}$

Step 3.2.3

Rewrite the expression.

$\frac{3}{40}$

Step 4

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

$0.075$