Algebra Examples

3.5 %

$3.5 %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{3.5}{100}

$\frac{3.5}{100}$

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{35}{1000}

$\frac{35}{1000}$

Step 3

Cancel the common factor of

35

$35$ and

1000

$1000$ .

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Step 3.1

Factor

5

$5$ out of

35

$35$ .

\frac{5 (7)}{1000}

$\frac{5 (7)}{1000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

5

$5$ out of

1000

$1000$ .

\frac{5 \cdot 7}{5 \cdot 200}

$\frac{5 \cdot 7}{5 \cdot 200}$

Step 3.2.2

Cancel the common factor.

$\frac{5 \cdot 7}{5 \cdot 200}$

Step 3.2.3

Rewrite the expression.

$\frac{7}{200}$

Step 4

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

$0.035$

$3.5 %$

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