What is tofraction 0.66666 ?

The solution to tofraction 0.66666 is 33333/50000

Convert to a Simplified Fraction 0.66666

convert to fraction

0.66666

\frac{33333}{50000}

Decimal

0.66666

Solution steps

0.66666

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

There are

5

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

100000

= \frac{0.66666 \cdot 100000}{100000}

= \frac{66666}{100000}

Reduce the fraction

\frac{66666}{100000} : \frac{33333}{50000}

\frac{66666}{100000}

Find a common factor of

66666

and

100000

in order to cancel it out

Greatest Common Divisor of

66666, 100000 : 2

66666, 100000

Greatest Common Divisor (GCD)

Prime factorization of

66666 : 2 \cdot 3 \cdot 41 \cdot 271

66666

66666

divides by

266666 = 33333 \cdot 2

= 2 \cdot 33333

33333

divides by

333333 = 11111 \cdot 3

= 2 \cdot 3 \cdot 11111

11111

divides by

4111111 = 271 \cdot 41

= 2 \cdot 3 \cdot 41 \cdot 271

2, 3, 41, 271

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 41 \cdot 271

Prime factorization of

100000

The prime factors common to

66666, 100000

are

= 2

Factor out

2

from the numerator and the denominator

66666 = 2 \cdot 33333, 100000 = 2 \cdot 50000

= \frac{2 \cdot 33333}{2 \cdot 50000}

Cancel the common factor:

2

= \frac{33333}{50000}

= \frac{33333}{50000}