What is tofraction 0.27 ?

The solution to tofraction 0.27 is 27/100

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Popular >

Convert to a Simplified Fraction 0.27

Solution

convert to fraction

0.27

Solution

\frac{27}{100}

Solution steps

0.27

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{0.27 \cdot 100}{100}

= \frac{27}{100}

Reduce the fraction

\frac{27}{100} : \frac{27}{100}

\frac{27}{100}

Find a common factor of

27

and

100

in order to cancel it out

Greatest Common Divisor of

27, 100 : 1

27, 100

Greatest Common Divisor (GCD)

Prime factorization of

27 : 3 \cdot 3 \cdot 3

27

27

divides by

327 = 9 \cdot 3

= 3 \cdot 9

9

divides by

39 = 3 \cdot 3

= 3 \cdot 3 \cdot 3

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

No common factor for

27

and

100

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{27}{100}

= \frac{27}{100}

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Frequently Asked Questions (FAQ)

What is tofraction 0.27 ?
The solution to tofraction 0.27 is 27/100