What is tofraction 0.22222222222 ?

The solution to tofraction 0.22222222222 is 1111111/5000000

Convert to a Simplified Fraction 0.22222222222

tofraction

\frac{1111111}{5000000}

Decimal

0.2222222

Solution steps

0.22222 \dots

Multiply and divide by 10 for every number after the decimal point.

There are

7

digits to the right of the decimal point, therefore multiply and divide by

10000000

= \frac{0.22222 \dots \cdot 10000000}{10000000}

= \frac{2222222}{10000000}

Reduce the fraction

\frac{2222222}{10000000} : \frac{1111111}{5000000}

\frac{2222222}{10000000}

Find a common factor of

2222222

and

10000000

in order to cancel it out

Greatest Common Divisor of

2222222, 10000000 : 2

2222222, 10000000

Greatest Common Divisor (GCD)

Prime factorization of

2222222

Prime factorization of

10000000

The prime factors common to

2222222, 10000000

are

= 2

Factor out

2

from the numerator and the denominator

2222222 = 2 \cdot 1111111, 10000000 = 2 \cdot 5000000

= \frac{2 \cdot 1111111}{2 \cdot 5000000}

Cancel the common factor:

2

= \frac{1111111}{5000000}

= \frac{1111111}{5000000}

What is tofraction 0.22222222222 ?
The solution to tofraction 0.22222222222 is 1111111/5000000