What is tofraction 0.86 ?

The solution to tofraction 0.86 is 43/50

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Popular >

Convert to a Simplified Fraction 0.86

Solution

convert to fraction

0.86

Solution

\frac{43}{50}

Solution steps

0.86

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

There are

2

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

100

= \frac{0.86 \cdot 100}{100}

= \frac{86}{100}

Reduce the fraction

\frac{86}{100} : \frac{43}{50}

\frac{86}{100}

Find a common factor of

86

and

100

in order to cancel it out

Greatest Common Divisor of

86, 100 : 2

86, 100

Greatest Common Divisor (GCD)

Prime factorization of

86 : 2 \cdot 43

86

86

divides by

286 = 43 \cdot 2

= 2 \cdot 43

2, 43

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 43

Prime factorization of

100 : 2 \cdot 2 \cdot 5 \cdot 5

100

100

divides by

2100 = 50 \cdot 2

= 2 \cdot 50

50

divides by

250 = 25 \cdot 2

= 2 \cdot 2 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5 \cdot 5

The prime factors common to

86, 100

are

= 2

Factor out

2

from the numerator and the denominator

86 = 2 \cdot 43, 100 = 2 \cdot 50

= \frac{2 \cdot 43}{2 \cdot 50}

Cancel the common factor:

2

= \frac{43}{50}

= \frac{43}{50}

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\frac{11}{15}

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Frequently Asked Questions (FAQ)

What is tofraction 0.86 ?
The solution to tofraction 0.86 is 43/50