Convert to a Simplified Fraction 5.65

$5.65$

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.

$5 \frac{65}{100}$

Step 2

Reduce the fractional part of the mixed number.

$5 \frac{13}{20}$

Step 3

Convert $5 \frac{13}{20}$ to an improper fraction.

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

$5 + \frac{13}{20}$

Add $5$ and $\frac{13}{20}$ .

To write $5$ as a fraction with a common denominator, multiply by $\frac{20}{20}$ .

$5 \cdot \frac{20}{20} + \frac{13}{20}$

Combine $5$ and $\frac{20}{20}$ .

$\frac{5 \cdot 20}{20} + \frac{13}{20}$

Combine the numerators over the common denominator.

$\frac{5 \cdot 20 + 13}{20}$

Simplify the numerator.

Multiply $5$ by $20$ .

$\frac{100 + 13}{20}$

Add $100$ and $13$ .

$\frac{113}{20}$

Convert to a Simplified Fraction 5.65

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