Convert to a Simplified Fraction 2.56

$2.56$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

$2$ numbers to the right of the decimal point, place the decimal number over

$10^{2}$

$(100)$ . Next, add the whole number to the left of the decimal.

$2 \frac{56}{100}$

Step 2

Reduce the fractional part of the mixed number.

$2 \frac{14}{25}$

Step 3

Convert

$2 \frac{14}{25}$ to an improper fraction.

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

$2 + \frac{14}{25}$

Add

$2$ and

$\frac{14}{25}$ .

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{25}{25}$ .

$2 \cdot \frac{25}{25} + \frac{14}{25}$

Combine

$2$ and

$\frac{25}{25}$ .

$\frac{2 \cdot 25}{25} + \frac{14}{25}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 25 + 14}{25}$

Simplify the numerator.

Multiply

$2$ by

$25$ .

$\frac{50 + 14}{25}$

Add

$50$ and

$14$ .

$\frac{64}{25}$