Convert to a Simplified Fraction 0.88888

$0.88888$

Step 1

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

$5$ numbers to the right of the decimal point, place the decimal number over

$10^{5}$

$(100000)$ . Next, add the whole number to the left of the decimal.

$0 \frac{88888}{100000}$

Step 2

Reduce the fraction.

Convert

$0 \frac{88888}{100000}$ to an improper fraction.

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

$0 + \frac{88888}{100000}$

Add

$0$ and

$\frac{88888}{100000}$ .

$\frac{88888}{100000}$

Cancel the common factor of

$88888$ and

$100000$ .

Factor

$8$ out of

$88888$ .

$\frac{8 (11111)}{100000}$

Cancel the common factors.

Factor

$8$ out of

$100000$ .

$\frac{8 \cdot 11111}{8 \cdot 12500}$

Cancel the common factor.

$\frac{8 \cdot 11111}{8 \cdot 12500}$

Rewrite the expression.

$\frac{11111}{12500}$