To turn a decimal into a fraction, write it over the power of ten that matches its decimal places, then simplify by dividing top and bottom by their greatest common divisor. 0.75 → 75/100 → 3/4. Values of 1 or more also give a mixed number, like 2.25 → 9/4 → 2 1/4.
Reviewed: June 20, 2026 · Author: Naveen P N, Founder — AI Calculator · Verified against: GCD reduction, recomputed in code.
The method
Count the digits after the point. Two decimal places means a denominator of 100, three means 1000, and so on. Put the decimal (as a whole number) on top and that power of ten on the bottom, then divide both by their greatest common divisor to reach lowest terms. If the value is 1 or more, split off the whole-number part to show a mixed number.
Worked examples
0.75 — two decimal places:
2.25 — improper & mixed:
0.125 — three decimal places:
So 0.75 is exactly 3/4, 2.25 is 9/4 (or 2 1/4), and 0.125 is 1/8 — each one the original decimal in lowest terms.
Frequently Asked Questions
Over a power of ten, then simplify. 0.75 = 75/100, ÷ GCD 25 = 3/4.
3/4. Also: 0.5 = 1/2, 0.25 = 1/4, 0.125 = 1/8, 0.6 = 3/5.
You get an improper fraction and mixed number. 2.25 = 9/4 = 2 1/4.
This handles terminating decimals exactly. Typed 0.333 = 333/1000; true 0.333… = 1/3.
Dividing by the greatest common divisor reaches lowest terms in one step. 75/100 ÷ 25 = 3/4.