Convert to a Simplified Fraction 0.0705

$0.0705$

Step 1

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

$4$ numbers to the right of the decimal point, place the decimal number over

$10^{4}$

$(10000)$ . Next, add the whole number to the left of the decimal.

$0 \frac{705}{10000}$

Step 2

Reduce the fraction.

Convert

$0 \frac{705}{10000}$ to an improper fraction.

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

$0 + \frac{705}{10000}$

Add

$0$ and

$\frac{705}{10000}$ .

$\frac{705}{10000}$

Cancel the common factor of

$705$ and

$10000$ .

Factor

$5$ out of

$705$ .

$\frac{5 (141)}{10000}$

Cancel the common factors.

Factor

$5$ out of

$10000$ .

$\frac{5 \cdot 141}{5 \cdot 2000}$

Cancel the common factor.

$\frac{5 \cdot 141}{5 \cdot 2000}$

Rewrite the expression.

$\frac{141}{2000}$