What is dectofrac 0.54 ?

The solution to dectofrac 0.54 is 27/50

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Popular >

Convert to a Simplified Fraction 0.54

Solution

decimal to fraction

0.54

Solution

\frac{27}{50}

Solution steps

0.54

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{0.54 \cdot 100}{100}

= \frac{54}{100}

Reduce the fraction

\frac{54}{100} : \frac{27}{50}

\frac{54}{100}

Find a common factor of

54

and

100

in order to cancel it out

Greatest Common Divisor of

54, 100 : 2

54, 100

Greatest Common Divisor (GCD)

Prime factorization of

54 : 2 \cdot 3 \cdot 3 \cdot 3

54

54

divides by

254 = 27 \cdot 2

= 2 \cdot 27

27

divides by

327 = 9 \cdot 3

= 2 \cdot 3 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 3 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 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

The prime factors common to

54, 100

are

= 2

Factor out

2

from the numerator and the denominator

54 = 2 \cdot 27, 100 = 2 \cdot 50

= \frac{2 \cdot 27}{2 \cdot 50}

Cancel the common factor:

2

= \frac{27}{50}

= \frac{27}{50}

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60 - 35

Frequently Asked Questions (FAQ)

What is dectofrac 0.54 ?
The solution to dectofrac 0.54 is 27/50