Convert to a Simplified Fraction 1000.1010

$1000.101$

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.

$1000 \frac{101}{1000}$

Step 2

Convert

$1000 \frac{101}{1000}$ to an improper fraction.

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

$1000 + \frac{101}{1000}$

Add

$1000$ and

$\frac{101}{1000}$ .

To write

$1000$ as a fraction with a common denominator, multiply by

$\frac{1000}{1000}$ .

$1000 \cdot \frac{1000}{1000} + \frac{101}{1000}$

Combine

$1000$ and

$\frac{1000}{1000}$ .

$\frac{1000 \cdot 1000}{1000} + \frac{101}{1000}$

Combine the numerators over the common denominator.

$\frac{1000 \cdot 1000 + 101}{1000}$

Simplify the numerator.

Multiply

$1000$ by

$1000$ .

$\frac{1000000 + 101}{1000}$

Add

$1000000$ and

$101$ .

$\frac{1000101}{1000}$