Basic Math Examples

13.125

$13.125$

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.

13 \frac{125}{1000}

$13 \frac{125}{1000}$

Step 2

Reduce the fractional part of the mixed number.

13 \frac{1}{8}

$13 \frac{1}{8}$

Step 3

Convert

13 \frac{1}{8}

$13 \frac{1}{8}$ to an improper fraction.

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Step 3.1

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

13 + \frac{1}{8}

$13 + \frac{1}{8}$

Step 3.2

Add

13

$13$ and

\frac{1}{8}

$\frac{1}{8}$ .

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Step 3.2.1

To write

13

$13$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

13 \cdot \frac{8}{8} + \frac{1}{8}

$13 \cdot \frac{8}{8} + \frac{1}{8}$

Step 3.2.2

Combine

13

$13$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{13 \cdot 8}{8} + \frac{1}{8}

$\frac{13 \cdot 8}{8} + \frac{1}{8}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{13 \cdot 8 + 1}{8}

$\frac{13 \cdot 8 + 1}{8}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

13

$13$ by

8

$8$ .

\frac{104 + 1}{8}

$\frac{104 + 1}{8}$

Step 3.2.4.2

Add

104

$104$ and

1

$1$ .

\frac{105}{8}

$\frac{105}{8}$

\frac{105}{8}

$\frac{105}{8}$

\frac{105}{8}

$\frac{105}{8}$

\frac{105}{8}

$\frac{105}{8}$