Basic Math Examples

31.99

$31.99$

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.

31 \frac{99}{100}

$31 \frac{99}{100}$

Step 2

Convert

31 \frac{99}{100}

$31 \frac{99}{100}$ to an improper fraction.

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Step 2.1

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

31 + \frac{99}{100}

$31 + \frac{99}{100}$

Step 2.2

Add

31

$31$ and

\frac{99}{100}

$\frac{99}{100}$ .

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Step 2.2.1

To write

31

$31$ as a fraction with a common denominator, multiply by

\frac{100}{100}

$\frac{100}{100}$ .

31 \cdot \frac{100}{100} + \frac{99}{100}

$31 \cdot \frac{100}{100} + \frac{99}{100}$

Step 2.2.2

Combine

31

$31$ and

\frac{100}{100}

$\frac{100}{100}$ .

\frac{31 \cdot 100}{100} + \frac{99}{100}

$\frac{31 \cdot 100}{100} + \frac{99}{100}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{31 \cdot 100 + 99}{100}

$\frac{31 \cdot 100 + 99}{100}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

31

$31$ by

100

$100$ .

\frac{3100 + 99}{100}

$\frac{3100 + 99}{100}$

Step 2.2.4.2

Add

3100

$3100$ and

99

$99$ .

\frac{3199}{100}

$\frac{3199}{100}$

\frac{3199}{100}

$\frac{3199}{100}$

\frac{3199}{100}

$\frac{3199}{100}$

\frac{3199}{100}

$\frac{3199}{100}$