Convert to a Simplified Fraction 3.012

$3.012$

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.

$3 \frac{12}{1000}$

Step 2

Reduce the fractional part of the mixed number.

$3 \frac{3}{250}$

Step 3

Convert

$3 \frac{3}{250}$ to an improper fraction.

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

$3 + \frac{3}{250}$

Add

$3$ and

$\frac{3}{250}$ .

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{250}{250}$ .

$3 \cdot \frac{250}{250} + \frac{3}{250}$

Combine

$3$ and

$\frac{250}{250}$ .

$\frac{3 \cdot 250}{250} + \frac{3}{250}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 250 + 3}{250}$

Simplify the numerator.

Multiply

$3$ by

$250$ .

$\frac{750 + 3}{250}$

Add

$750$ and

$3$ .

$\frac{753}{250}$