Convert to a Simplified Fraction 2.42

$2.42$

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.

$2 \frac{42}{100}$

Step 2

Reduce the fractional part of the mixed number.

$2 \frac{21}{50}$

Step 3

Convert

$2 \frac{21}{50}$ to an improper fraction.

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

$2 + \frac{21}{50}$

Add

$2$ and

$\frac{21}{50}$ .

To write

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

$\frac{50}{50}$ .

$2 \cdot \frac{50}{50} + \frac{21}{50}$

Combine

$2$ and

$\frac{50}{50}$ .

$\frac{2 \cdot 50}{50} + \frac{21}{50}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 50 + 21}{50}$

Simplify the numerator.

Multiply

$2$ by

$50$ .

$\frac{100 + 21}{50}$

Add

$100$ and

$21$ .

$\frac{121}{50}$