Fraction to Decimal Calculator
Convert any fraction to decimal, percentage, and simplified form instantly.
Converting Fractions to Decimals
Divide the numerator by the denominator. That is the entire method: 3/4 = 3 ÷ 4 = 0.75. Some fractions produce terminating decimals (1/4 = 0.25, 1/8 = 0.125). Others produce repeating decimals (1/3 = 0.333..., 1/7 = 0.142857142857...). A fraction produces a terminating decimal only when the denominator has no prime factors other than 2 and 5. Since 8 = 2³, 1/8 terminates. Since 3 is prime and not 2 or 5, 1/3 repeats forever.
Common Fractions You Should Know
Memorizing a few key conversions saves time in daily life: 1/2 = 0.5. 1/3 ≈ 0.333. 1/4 = 0.25. 1/5 = 0.2. 1/8 = 0.125. 3/4 = 0.75. 2/3 ≈ 0.667. 3/8 = 0.375. 5/8 = 0.625. 7/8 = 0.875. These come up constantly in cooking (recipe conversions), construction (measurements), and finance (interest rates quoted as fractions).
1/7 equals 0.142857 repeating. The number 142857 is a cyclic number that rearranges its digits when multiplied by 1 through 6.
