Education
Fraction to Decimal Calculator
Enter a fraction and the calculator returns the decimal value, the percent equivalent, the simplified fraction, and the mixed-number form when the value is at least 1.
e.g. 3
Cannot be 0. · e.g. 4
Whole-number numerator and denominator. The calculator divides and shows the simplified fraction, the decimal, and the percent.
Decimal value
0.75
3/4 as a decimal
Divide the numerator by the denominator. The decimal value equals the simplified fraction's decimal expansion.
Examples
3/4 → decimal
= 0.75 · 75%
1/3 → decimal
= 0.333… · 33.333…%
9/8 → decimal
= 1.125 · 112.5% · mixed 1 1/8
How it works
Every fraction equals numerator divided by denominator. The calculator simplifies the fraction first, then divides to get the decimal value, and multiplies by 100 for the percent equivalent.
Decimal · d = n ÷ denominator
Percent · d × 100%
A fraction terminates only when its simplified denominator factors into 2s and 5s.
Related math calculators
- Decimal to fraction calculator for the reverse conversion.
- Mixed number calculator to switch between improper fractions and mixed numbers.
- Fraction calculator for fraction arithmetic with step by step work.
- Percentage calculator for converting parts and wholes into percents.
- All education calculators.
Frequently asked questions
Divide the numerator by the denominator. For 3/4, divide 3 by 4 to get 0.75. For 1/3, divide 1 by 3 to get 0.333… (a repeating decimal). The result is exact for fractions whose simplified denominator factors into 2s and 5s only; otherwise the decimal repeats.
Convert to a decimal first, then multiply by 100. For 3/4: 3 ÷ 4 = 0.75, then × 100 = 75%. The calculator does both at once and shows the percent row directly.
A fraction has a terminating decimal exactly when its simplified denominator contains only the prime factors 2 and 5. So 1/2, 3/5, 7/8, and 9/20 all terminate. Fractions like 1/3, 2/7, or 5/12 have repeating decimals because the denominator includes other primes (3 or 7 in those cases).
Division by 0 is undefined, so the calculator flags the input and returns no value. Make sure the denominator is a nonzero integer.
The sign attaches to the numerator. -3/4 returns -0.75 and -75%. If both numerator and denominator are negative, the negatives cancel and the result is positive.
Yes. The simplified fraction row shows the input reduced to lowest terms by dividing both numerator and denominator by their greatest common divisor. The decimal value is the same either way, but the simplified form is the standard answer for most homework questions.
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