What is tofraction 0.88888 ?

The solution to tofraction 0.88888 is 11111/12500

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Popular >

Convert to a Simplified Fraction 0.88888

Solution

convert to fraction

0.88888

Solution

\frac{11111}{12500}

Solution steps

0.88888

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{0.88888 \cdot 100000}{100000}

= \frac{88888}{100000}

Reduce the fraction

\frac{88888}{100000} : \frac{11111}{12500}

\frac{88888}{100000}

Find a common factor of

88888

and

100000

in order to cancel it out

Greatest Common Divisor of

88888, 100000 : 8

88888, 100000

Greatest Common Divisor (GCD)

Prime factorization of

88888 : 2 \cdot 2 \cdot 2 \cdot 41 \cdot 271

88888

88888

divides by

288888 = 44444 \cdot 2

= 2 \cdot 44444

44444

divides by

244444 = 22222 \cdot 2

= 2 \cdot 2 \cdot 22222

22222

divides by

222222 = 11111 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 11111

11111

divides by

4111111 = 271 \cdot 41

= 2 \cdot 2 \cdot 2 \cdot 41 \cdot 271

2, 41, 271

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 41 \cdot 271

Prime factorization of

100000

The prime factors common to

88888, 100000

are

= 2 \cdot 2 \cdot 2

Multiply the numbers:

2 \cdot 2 \cdot 2 = 8

= 8

Factor out

8

from the numerator and the denominator

88888 = 8 \cdot 11111, 100000 = 8 \cdot 12500

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

Cancel the common factor:

8

= \frac{11111}{12500}

= \frac{11111}{12500}

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Frequently Asked Questions (FAQ)

What is tofraction 0.88888 ?
The solution to tofraction 0.88888 is 11111/12500