Basic Math Examples

9.89

$9.89$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

2

$2$ numbers to the right of the decimal point, place the decimal number over

10^{2}

$10^{2}$

(100)

$(100)$ . Next, add the whole number to the left of the decimal.

9 \frac{89}{100}

$9 \frac{89}{100}$

Step 2

Convert

9 \frac{89}{100}

$9 \frac{89}{100}$ to an improper fraction.

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Step 2.1

A mixed number is an addition of its whole and fractional parts.

9 + \frac{89}{100}

$9 + \frac{89}{100}$

Step 2.2

Add

9

$9$ and

\frac{89}{100}

$\frac{89}{100}$ .

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Step 2.2.1

To write

9

$9$ as a fraction with a common denominator, multiply by

\frac{100}{100}

$\frac{100}{100}$ .

9 \cdot \frac{100}{100} + \frac{89}{100}

$9 \cdot \frac{100}{100} + \frac{89}{100}$

Step 2.2.2

Combine

9

$9$ and

\frac{100}{100}

$\frac{100}{100}$ .

\frac{9 \cdot 100}{100} + \frac{89}{100}

$\frac{9 \cdot 100}{100} + \frac{89}{100}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{9 \cdot 100 + 89}{100}

$\frac{9 \cdot 100 + 89}{100}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$9$ by

$100$ .

$\frac{900 + 89}{100}$

Step 2.2.4.2

Add

$900$ and

$89$ .

$\frac{989}{100}$