Algebra Examples

$12.8$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is $1$ number to the right of the decimal point, place the decimal number over $10^{1}$ $(10)$ . Next, add the whole number to the left of the decimal.

$12 \frac{8}{10}$

Step 2

Reduce the fractional part of the mixed number.

$12 \frac{4}{5}$

Step 3

Convert $12 \frac{4}{5}$ to an improper fraction.

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Step 3.1

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

$12 + \frac{4}{5}$

Step 3.2

Add $12$ and $\frac{4}{5}$ .

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Step 3.2.1

To write $12$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$12 \cdot \frac{5}{5} + \frac{4}{5}$

Step 3.2.2

Combine $12$ and $\frac{5}{5}$ .

$\frac{12 \cdot 5}{5} + \frac{4}{5}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{12 \cdot 5 + 4}{5}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply $12$ by $5$ .

$\frac{60 + 4}{5}$

Step 3.2.4.2

Add $60$ and $4$ .

$\frac{64}{5}$