Convert to a Simplified Fraction 8.21

$8.21$

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.

$8 \frac{21}{100}$

Step 2

Convert

$8 \frac{21}{100}$ to an improper fraction.

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

$8 + \frac{21}{100}$

Add

$8$ and

$\frac{21}{100}$ .

To write

$8$ as a fraction with a common denominator, multiply by

$\frac{100}{100}$ .

$8 \cdot \frac{100}{100} + \frac{21}{100}$

Combine

$8$ and

$\frac{100}{100}$ .

$\frac{8 \cdot 100}{100} + \frac{21}{100}$

Combine the numerators over the common denominator.

$\frac{8 \cdot 100 + 21}{100}$

Simplify the numerator.

Multiply

$8$ by

$100$ .

$\frac{800 + 21}{100}$

Add

$800$ and

$21$ .

$\frac{821}{100}$