Convert to a Simplified Fraction 2.45

$2.45$

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.

$2 \frac{45}{100}$

Reduce the fractional part of the mixed number.

$2 \frac{9}{20}$

Convert $2 \frac{9}{20}$ to an improper fraction.

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

$2 + \frac{9}{20}$

Add $2$ and $\frac{9}{20}$ .

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To write $2$ as a fraction with a common denominator, multiply by $\frac{20}{20}$ .

$2 \cdot \frac{20}{20} + \frac{9}{20}$

Combine $2$ and $\frac{20}{20}$ .

$\frac{2 \cdot 20}{20} + \frac{9}{20}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 20 + 9}{20}$

Simplify the numerator.

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Multiply $2$ by $20$ .

$\frac{40 + 9}{20}$

Add $40$ and $9$ .

$\frac{49}{20}$

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