Basic Math Examples

12.625

$12.625$

Step 1

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

3

$3$ numbers to the right of the decimal point, place the decimal number over

10^{3}

$10^{3}$

(1000)

$(1000)$ . Next, add the whole number to the left of the decimal.

12 \frac{625}{1000}

$12 \frac{625}{1000}$

Step 2

Reduce the fractional part of the mixed number.

12 \frac{5}{8}

$12 \frac{5}{8}$

Step 3

Convert

12 \frac{5}{8}

$12 \frac{5}{8}$ 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{5}{8}

$12 + \frac{5}{8}$

Step 3.2

Add

12

$12$ and

\frac{5}{8}

$\frac{5}{8}$ .

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Step 3.2.1

To write

12

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

\frac{8}{8}

$\frac{8}{8}$ .

12 \cdot \frac{8}{8} + \frac{5}{8}

$12 \cdot \frac{8}{8} + \frac{5}{8}$

Step 3.2.2

Combine

12

$12$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{12 \cdot 8}{8} + \frac{5}{8}

$\frac{12 \cdot 8}{8} + \frac{5}{8}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{12 \cdot 8 + 5}{8}

$\frac{12 \cdot 8 + 5}{8}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

12

$12$ by

8

$8$ .

\frac{96 + 5}{8}

$\frac{96 + 5}{8}$

Step 3.2.4.2

Add

96

$96$ and

5

$5$ .

\frac{101}{8}

$\frac{101}{8}$

\frac{101}{8}

$\frac{101}{8}$

\frac{101}{8}

$\frac{101}{8}$

\frac{101}{8}

$\frac{101}{8}$