Convert to a Simplified Fraction 3.857143

$3.857143$

Step 1

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

$6$ numbers to the right of the decimal point, place the decimal number over

$10^{6}$

$(1000000)$ . Next, add the whole number to the left of the decimal.

$3 \frac{857143}{1000000}$

Step 2

Convert

$3 \frac{857143}{1000000}$ to an improper fraction.

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

$3 + \frac{857143}{1000000}$

Add

$3$ and

$\frac{857143}{1000000}$ .

To write

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

$\frac{1000000}{1000000}$ .

$3 \cdot \frac{1000000}{1000000} + \frac{857143}{1000000}$

Combine

$3$ and

$\frac{1000000}{1000000}$ .

$\frac{3 \cdot 1000000}{1000000} + \frac{857143}{1000000}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 1000000 + 857143}{1000000}$

Simplify the numerator.

Multiply

$3$ by

$1000000$ .

$\frac{3000000 + 857143}{1000000}$

Add

$3000000$ and

$857143$ .

$\frac{3857143}{1000000}$