Basic Math Examples

3.4 %

$3.4 %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{3.4}{100}

$\frac{3.4}{100}$

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{34}{1000}

$\frac{34}{1000}$

Step 3

Cancel the common factor of

34

$34$ and

1000

$1000$ .

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Step 3.1

Factor

2

$2$ out of

34

$34$ .

\frac{2 (17)}{1000}

$\frac{2 (17)}{1000}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

2

$2$ out of

1000

$1000$ .

\frac{2 \cdot 17}{2 \cdot 500}

$\frac{2 \cdot 17}{2 \cdot 500}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 17}{2 \cdot 500}$

Step 3.2.3

Rewrite the expression.

$\frac{17}{500}$