Convert to a Simplified Fraction 26.8

$26.8$

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.

$26 \frac{8}{10}$

Step 2

Reduce the fractional part of the mixed number.

$26 \frac{4}{5}$

Step 3

Convert

$26 \frac{4}{5}$ to an improper fraction.

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

$26 + \frac{4}{5}$

Add

$26$ and

$\frac{4}{5}$ .

To write

$26$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$26 \cdot \frac{5}{5} + \frac{4}{5}$

Combine

$26$ and

$\frac{5}{5}$ .

$\frac{26 \cdot 5}{5} + \frac{4}{5}$

Combine the numerators over the common denominator.

$\frac{26 \cdot 5 + 4}{5}$

Simplify the numerator.

Multiply

$26$ by

$5$ .

$\frac{130 + 4}{5}$

Add

$130$ and

$4$ .

$\frac{134}{5}$