Convert to a Simplified Fraction 4.002

$4.002$

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.

$4 \frac{2}{1000}$

Step 2

Reduce the fractional part of the mixed number.

$4 \frac{1}{500}$

Step 3

Convert

$4 \frac{1}{500}$ to an improper fraction.

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

$4 + \frac{1}{500}$

Add

$4$ and

$\frac{1}{500}$ .

To write

$4$ as a fraction with a common denominator, multiply by

$\frac{500}{500}$ .

$4 \cdot \frac{500}{500} + \frac{1}{500}$

Combine

$4$ and

$\frac{500}{500}$ .

$\frac{4 \cdot 500}{500} + \frac{1}{500}$

Combine the numerators over the common denominator.

$\frac{4 \cdot 500 + 1}{500}$

Simplify the numerator.

Multiply

$4$ by

$500$ .

$\frac{2000 + 1}{500}$

Add

$2000$ and

$1$ .

$\frac{2001}{500}$