Basic Math Examples

3.9

$3.9$

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.

3 \frac{9}{10}

$3 \frac{9}{10}$

Step 2

Convert

3 \frac{9}{10}

$3 \frac{9}{10}$ to an improper fraction.

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Step 2.1

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

3 + \frac{9}{10}

$3 + \frac{9}{10}$

Step 2.2

Add

3

$3$ and

\frac{9}{10}

$\frac{9}{10}$ .

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Step 2.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{10}{10}

$\frac{10}{10}$ .

3 \cdot \frac{10}{10} + \frac{9}{10}

$3 \cdot \frac{10}{10} + \frac{9}{10}$

Step 2.2.2

Combine

3

$3$ and

\frac{10}{10}

$\frac{10}{10}$ .

\frac{3 \cdot 10}{10} + \frac{9}{10}

$\frac{3 \cdot 10}{10} + \frac{9}{10}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 10 + 9}{10}

$\frac{3 \cdot 10 + 9}{10}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

3

$3$ by

10

$10$ .

\frac{30 + 9}{10}

$\frac{30 + 9}{10}$

Step 2.2.4.2

Add

30

$30$ and

9

$9$ .

\frac{39}{10}

$\frac{39}{10}$

\frac{39}{10}

$\frac{39}{10}$

\frac{39}{10}

$\frac{39}{10}$

\frac{39}{10}

$\frac{39}{10}$

$3.9$

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