How to Конвертер Decimal to Fraction

Conversion stages

  1. Write the decimal fraction as a fraction of the digits to the right of the decimal period (numerator) and a power of 10 (denominator).
  2. Find the greatest common divisor (gcd) of the numerator and the denominator.
  3. Reduce the fraction by dividing the numerator and the denominator with the gcd.

Example #1

Конвертер 0.32 to fraction:

0.32 = 32/100

Find the greatest common divisor (gcd) of the numerator and the denominator:

gcd(32,100) = 4

Reduce the fraction by dividing the numerator and the denominator with the gcd:

0.32 = (32/4) / (100/4) = 8/25

Example #2

Конвертер 2.56 to fraction:

2.56 = 2+56/100

Find the greatest common divisor (gcd) of the numerator and the denominator:

gcd(56,100) = 4

Reduce the fraction by dividing the numerator and the denominator with the gcd:

2+56/100 = 2 + (56/4) / (100/4) = 2+14/25

Example #3

Конвертер 0.124 to fraction:

0.124 = 124/1000

Find the greatest common divisor (gcd) of the numerator and the denominator:

gcd(124,1000) = 4

Reduce the fraction by dividing the numerator and the denominator with the gcd:

0.124 = (124/4) / (1000/4) = 31/250

How to Конвертер repeating decimal to fraction

Example #1

Конвертер 0.333333... to fraction:

x = 0.333333...

10x = 3.333333...

10x - x = 9x = 3

x = 3/9 = 1/3

Example #2

Конвертер 0.0565656... to fraction:

x = 0.0565656...

100x = 5.6565656...

100x - x = 99x = 5.6

990x = 56

x = 56/990 = 28/495

Decimal to fraction conversion table

Decimal Fraction
0.001 1/1000
0.01 1/100
0.1 1/10
0.11111111 1/9
0.125 1/8
0.14285714 1/7
0.16666667 1/6
0.2 1/5
0.22222222 2/9
0.25 1/4
0.28571429 2/7
0.3 3/10
0.33333333 1/3
0.375 3/8
0.4 2/5
0.42857143 3/7
0.44444444 4/9
0.5 1/2
0.55555555 5/9
0.57142858 4/7
0.625 5/8
0.66666667 2/3
0.6 3/5
0.7 7/10
0.71428571 5/7
0.75 3/4
0.77777778 7/9
0.8 4/5
0.83333333 5/6
0.85714286 6/7
0.875 7/8
0.88888889 8/9
0.9 9/10

 

Decimal to fraction converter

 


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