Convert to a Simplified Fraction 8.006

$8.006$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

$3$ numbers to the right of the decimal point, place the decimal number over

$10^{3}$

$(1000)$ . Next, add the whole number to the left of the decimal.

$8 \frac{6}{1000}$

Step 2

Reduce the fractional part of the mixed number.

$8 \frac{3}{500}$

Step 3

Convert

$8 \frac{3}{500}$ to an improper fraction.

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

$8 + \frac{3}{500}$

Add

$8$ and

$\frac{3}{500}$ .

To write

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

$\frac{500}{500}$ .

$8 \cdot \frac{500}{500} + \frac{3}{500}$

Combine

$8$ and

$\frac{500}{500}$ .

$\frac{8 \cdot 500}{500} + \frac{3}{500}$

Combine the numerators over the common denominator.

$\frac{8 \cdot 500 + 3}{500}$

Simplify the numerator.

Multiply

$8$ by

$500$ .

$\frac{4000 + 3}{500}$

Add

$4000$ and

$3$ .

$\frac{4003}{500}$