Basic Math Examples

12.33

$12.33$

Step 1

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

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

$10^{2}$

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

$12 \frac{33}{100}$

Step 2

Convert

$12 \frac{33}{100}$ to an improper fraction.

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Step 2.1

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

$12 + \frac{33}{100}$

Step 2.2

Add

$12$ and

$\frac{33}{100}$ .

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Step 2.2.1

To write

$12$ as a fraction with a common denominator, multiply by

$\frac{100}{100}$ .

$12 \cdot \frac{100}{100} + \frac{33}{100}$

Step 2.2.2

Combine

$12$ and

$\frac{100}{100}$ .

$\frac{12 \cdot 100}{100} + \frac{33}{100}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{12 \cdot 100 + 33}{100}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$12$ by

$100$ .

$\frac{1200 + 33}{100}$

Step 2.2.4.2

Add

$1200$ and

$33$ .

$\frac{1233}{100}$