Basic Math Examples

9.8 %

$9.8 %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{9.8}{100}

$\frac{9.8}{100}$

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{98}{1000}

$\frac{98}{1000}$

Step 3

Cancel the common factor of

98

$98$ and

1000

$1000$ .

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Step 3.1

Factor

2

$2$ out of

98

$98$ .

\frac{2 (49)}{1000}

$\frac{2 (49)}{1000}$

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 49}{2 \cdot 500}

$\frac{2 \cdot 49}{2 \cdot 500}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 49}{2 \cdot 500}$

Step 3.2.3

Rewrite the expression.

$\frac{49}{500}$