Basic Math Examples

22.3

$22.3$

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.

22 \frac{3}{10}

$22 \frac{3}{10}$

Step 2

Convert

22 \frac{3}{10}

$22 \frac{3}{10}$ to an improper fraction.

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Step 2.1

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

22 + \frac{3}{10}

$22 + \frac{3}{10}$

Step 2.2

Add

22

$22$ and

\frac{3}{10}

$\frac{3}{10}$ .

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Step 2.2.1

To write

22

$22$ as a fraction with a common denominator, multiply by

\frac{10}{10}

$\frac{10}{10}$ .

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

$22 \cdot \frac{10}{10} + \frac{3}{10}$

Step 2.2.2

Combine

22

$22$ and

\frac{10}{10}

$\frac{10}{10}$ .

\frac{22 \cdot 10}{10} + \frac{3}{10}

$\frac{22 \cdot 10}{10} + \frac{3}{10}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{22 \cdot 10 + 3}{10}

$\frac{22 \cdot 10 + 3}{10}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

22

$22$ by

10

$10$ .

\frac{220 + 3}{10}

$\frac{220 + 3}{10}$

Step 2.2.4.2

Add

220

$220$ and

3

$3$ .

\frac{223}{10}

$\frac{223}{10}$