Turn a fraction into its decimal and percentage form. The calculator also tells you if the decimal ends, or repeats forever.
The numerator is divided by the denominator.
Multiplying by 100 gives the percentage form.
A fraction terminates only if its reduced denominator has no prime factors other than 2 and 5 — otherwise the decimal repeats forever.
Decimal: Numerator ÷ Denominator
Percentage: Decimal × 100
Converting three eighths into a decimal.
Fraction: 3/8
Divide: 3 ÷ 8 = 0.375
As a percentage: 0.375 × 100 = 37.5%
The denominator 8 is 2³, so the decimal terminates
Answer: 0.375 (37.5%)
Why do some fractions give repeating decimals?
Our number system uses base 10, which breaks down into 2 and 5. A fraction only ends if its simplified bottom number is made only of 2s and 5s. A bottom number like 3, 7, or 11 does not divide evenly into 10, so the division never ends.
How do I write a repeating decimal?
With a bar or dot over the repeating part — 1/3 is written as 0.3 with a bar over the 3. This calculator shows the rounded decimal, and tells you that it repeats.