Basic Math Examples

12.75

$12.75$

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.

12 \frac{75}{100}

$12 \frac{75}{100}$

Step 2

Reduce the fractional part of the mixed number.

12 \frac{3}{4}

$12 \frac{3}{4}$

Step 3

Convert

12 \frac{3}{4}

$12 \frac{3}{4}$ to an improper fraction.

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Step 3.1

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

12 + \frac{3}{4}

$12 + \frac{3}{4}$

Step 3.2

Add

12

$12$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 3.2.1

To write

12

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

\frac{4}{4}

$\frac{4}{4}$ .

12 \cdot \frac{4}{4} + \frac{3}{4}

$12 \cdot \frac{4}{4} + \frac{3}{4}$

Step 3.2.2

Combine

12

$12$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{12 \cdot 4}{4} + \frac{3}{4}

$\frac{12 \cdot 4}{4} + \frac{3}{4}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{12 \cdot 4 + 3}{4}

$\frac{12 \cdot 4 + 3}{4}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

12

$12$ by

4

$4$ .

\frac{48 + 3}{4}

$\frac{48 + 3}{4}$

Step 3.2.4.2

Add

48

$48$ and

3

$3$ .

\frac{51}{4}

$\frac{51}{4}$

\frac{51}{4}

$\frac{51}{4}$

\frac{51}{4}

$\frac{51}{4}$

\frac{51}{4}

$\frac{51}{4}$