Convert to a Simplified Fraction 5.075

$5.075$

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.

$5 \frac{75}{1000}$

Step 2

Reduce the fractional part of the mixed number.

$5 \frac{3}{40}$

Step 3

Convert

$5 \frac{3}{40}$ to an improper fraction.

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

$5 + \frac{3}{40}$

Add

$5$ and

$\frac{3}{40}$ .

To write

$5$ as a fraction with a common denominator, multiply by

$\frac{40}{40}$ .

$5 \cdot \frac{40}{40} + \frac{3}{40}$

Combine

$5$ and

$\frac{40}{40}$ .

$\frac{5 \cdot 40}{40} + \frac{3}{40}$

Combine the numerators over the common denominator.

$\frac{5 \cdot 40 + 3}{40}$

Simplify the numerator.

Multiply

$5$ by

$40$ .

$\frac{200 + 3}{40}$

Add

$200$ and

$3$ .

$\frac{203}{40}$