Convert to a Simplified Fraction 2.78

$2.78$

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.

$2 \frac{78}{100}$

Step 2

Reduce the fractional part of the mixed number.

$2 \frac{39}{50}$

Step 3

Convert $2 \frac{39}{50}$ to an improper fraction.

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

$2 + \frac{39}{50}$

Add $2$ and $\frac{39}{50}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{50}{50}$ .

$2 \cdot \frac{50}{50} + \frac{39}{50}$

Combine $2$ and $\frac{50}{50}$ .

$\frac{2 \cdot 50}{50} + \frac{39}{50}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 50 + 39}{50}$

Simplify the numerator.

Multiply $2$ by $50$ .

$\frac{100 + 39}{50}$

Add $100$ and $39$ .

$\frac{139}{50}$

Convert to a Simplified Fraction 2.78

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