Decimal to Fraction CalculatorFree online math calculator — instant results, no sign-up

N = x × 10^d; D = 10^d; g = gcd(|N|, D); F = (N/g)/(D/g). For x = 0.375: d = 3, N = 375, D = 1000, g = 125, so F = (375/125)/(1000/125) = 3/8.

• xThe decimal value entered.
• dThe number of digits after the decimal point, at most nine.
• NThe integer numerator obtained by multiplying x by 10^d.
• DThe initial denominator, 10^d.
• gThe greatest common divisor of the absolute value of N and D; gcd denotes this operation.
• FThe resulting fraction in lowest terms.

Use the decimal's place count to form a power-of-ten denominator, and remove the decimal point to form the integer numerator. Find the greatest common divisor of the numerator's absolute value and the denominator, then divide both by it. For 0.375, the initial fraction is 375/1000; dividing both parts by 125 gives 3/8.

These are the calculator's starting values and the results it actually produces for them.

1. 1Enter 0.375 in the Decimal field, or leave the default value unchanged.
2. 2Check that the entry is a terminating decimal with no more than nine digits after the decimal point.
3. 3Run the conversion to express the decimal as an integer numerator over a power-of-ten denominator.
4. 4Read the Fraction output: the default input produces 3/8 in lowest terms.
5. 5Verify the result by dividing 3 by 8, which gives 0.375.