Convert to a Simplified Fraction 7.008

$7.008$

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.

$7 \frac{8}{1000}$

Step 2

Reduce the fractional part of the mixed number.

$7 \frac{1}{125}$

Step 3

Convert

$7 \frac{1}{125}$ to an improper fraction.

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

$7 + \frac{1}{125}$

Add

$7$ and

$\frac{1}{125}$ .

To write

$7$ as a fraction with a common denominator, multiply by

$\frac{125}{125}$ .

$7 \cdot \frac{125}{125} + \frac{1}{125}$

Combine

$7$ and

$\frac{125}{125}$ .

$\frac{7 \cdot 125}{125} + \frac{1}{125}$

Combine the numerators over the common denominator.

$\frac{7 \cdot 125 + 1}{125}$

Simplify the numerator.

Multiply

$7$ by

$125$ .

$\frac{875 + 1}{125}$

Add

$875$ and

$1$ .

$\frac{876}{125}$