Convert to a Simplified Fraction 10.8

$10.8$

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.

$10 \frac{8}{10}$

Step 2

Reduce the fractional part of the mixed number.

$10 \frac{4}{5}$

Step 3

Convert $10 \frac{4}{5}$ to an improper fraction.

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

$10 + \frac{4}{5}$

Add $10$ and $\frac{4}{5}$ .

To write $10$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$10 \cdot \frac{5}{5} + \frac{4}{5}$

Combine $10$ and $\frac{5}{5}$ .

$\frac{10 \cdot 5}{5} + \frac{4}{5}$

Combine the numerators over the common denominator.

$\frac{10 \cdot 5 + 4}{5}$

Simplify the numerator.

Multiply $10$ by $5$ .

$\frac{50 + 4}{5}$

Add $50$ and $4$ .

$\frac{54}{5}$

Convert to a Simplified Fraction 10.8

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