Basic Math Examples

13.3

$13.3$

Step 1

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

1

$1$ number to the right of the decimal point, place the decimal number over

10^{1}

$10^{1}$

(10)

$(10)$ . Next, add the whole number to the left of the decimal.

13 \frac{3}{10}

$13 \frac{3}{10}$

Step 2

Convert

13 \frac{3}{10}

$13 \frac{3}{10}$ to an improper fraction.

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Step 2.1

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

13 + \frac{3}{10}

$13 + \frac{3}{10}$

Step 2.2

Add

13

$13$ and

\frac{3}{10}

$\frac{3}{10}$ .

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Step 2.2.1

To write

13

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

\frac{10}{10}

$\frac{10}{10}$ .

13 \cdot \frac{10}{10} + \frac{3}{10}

$13 \cdot \frac{10}{10} + \frac{3}{10}$

Step 2.2.2

Combine

13

$13$ and

\frac{10}{10}

$\frac{10}{10}$ .

\frac{13 \cdot 10}{10} + \frac{3}{10}

$\frac{13 \cdot 10}{10} + \frac{3}{10}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{13 \cdot 10 + 3}{10}

$\frac{13 \cdot 10 + 3}{10}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

13

$13$ by

10

$10$ .

\frac{130 + 3}{10}

$\frac{130 + 3}{10}$

Step 2.2.4.2

Add

130

$130$ and

3

$3$ .

\frac{133}{10}

$\frac{133}{10}$

\frac{133}{10}

$\frac{133}{10}$

\frac{133}{10}

$\frac{133}{10}$

\frac{133}{10}

$\frac{133}{10}$