Convert to a Simplified Fraction 6.004

$6.004$

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.

$6 \frac{4}{1000}$

Step 2

Reduce the fractional part of the mixed number.

$6 \frac{1}{250}$

Step 3

Convert

$6 \frac{1}{250}$ to an improper fraction.

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

$6 + \frac{1}{250}$

Add

$6$ and

$\frac{1}{250}$ .

To write

$6$ as a fraction with a common denominator, multiply by

$\frac{250}{250}$ .

$6 \cdot \frac{250}{250} + \frac{1}{250}$

Combine

$6$ and

$\frac{250}{250}$ .

$\frac{6 \cdot 250}{250} + \frac{1}{250}$

Combine the numerators over the common denominator.

$\frac{6 \cdot 250 + 1}{250}$

Simplify the numerator.

Multiply

$6$ by

$250$ .

$\frac{1500 + 1}{250}$

Add

$1500$ and

$1$ .

$\frac{1501}{250}$