Use this Decimal to Fraction Conversion Calculator to convert a decimal value to a fraction. Simply enter a whole or fractional decimal number into the input box and hit the ‘convert’ button.
Conversion stages
1. Write the decimal fraction value where a fraction of the digits to the right of the decimal period (numerator) and a power of 10 (denominator).
2. Now find the greatest common divisor (gcd) number for the numerator and the denominator.
3. Reduce the fraction by dividing the numerator and the denominator with the GCD.
0.00001 = 1/100000
0.0001 = 1/10000
0.001 = 1/1000
0.01 = 1/100
0.1 = 1/10
1 = 1
1.1 = 1 + 0.1 = 1 + 1/10 = 11/10
1.2 = 1 + 0.2 = 1 + 2/10 [gcd (2,10) = 2]
1.2 = 1 + (2/2)/(10/2) = 1 + 1/5 = 6/5
1.3 = 1 + 0.3 = 1 + 3/10 = 13/10
1.4 = 1 + 0.4 = 1 + 4/10 [gcd (4,10) = 2]
1.4 = 1 + (4/2)/(10/2) = 1 + 2/5 = 7/5
1.5 = 1 + 0.5 = 1+5/10 [gcd (5,10) = 5]
1.5 = 1 + (5/5)/(10/5) = 1 + 1/2 = 3/2
2.6 = 2 + 0.6 = 2 + 6/10 [gcd (6,10) = 2]
2.6 = 2 + (6/2)/(10/2) = 2 + 3/5 = 13/5
3.77 = 3 + 0.77 = 3 + 77/100 = 377/100
4.888 = 4 + 0.888 = 4 + 888/1000 [gcd (888,1000) = 8]
4.888 = 4 + (888/8)/(1000/8) = 4 + 111/125 = 611/125
5.9999 = 5 + 0.9999 = 5 + 9999/10000 = 59999/10000
10.1 = 10 + 0.1 = 10 + 1/10 = 101/10
10.111 = 10 + 0.111 = 10 + 111/1000 = 10111/1000
10.11111 = 10 + 0.11111 = 10 + 11111/100000 = 1011111/100000
100.1 = 100 + 0.1 = 100 + 1/10 = 1001/10
1000.1 = 1000 + 0.1 = 1000 + 1/10 = 10001/10
10000.1 = 10000 + 0.1 = 10000 + 1/10 = 100001/10
100000.1 = 100000 + 0.10000000001 = 100000 + 1/10 = 1000001/10
