How to use
- Pick a tab: operate, simplify, compare, decimal to fraction or fraction to decimal.
- Type fractions as 3/4, mixed numbers as 1 1/2, or decimals as 0.75 and 0.(3) for repeating.
- Read the result as a mixed number, improper fraction, decimal and percent, with the steps underneath.
Worked example: 1 1/2 + 2/3 − 1/4
Mixed 1 1/2 is 3/2. The common denominator of 2 and 3 is 6: 3/2 = 9/6 and 2/3 = 4/6, so 9/6 + 4/6 = 13/6.
Next, 13/6 − 1/4 with common denominator 12: 26/12 − 3/12 = 23/12. As a mixed number that is 1 11/12, or 1.91(6) as a repeating decimal, or 191.67%.
Frequently asked questions
How do I enter a mixed number?
With a space: 1 1/2. A hyphen also works (1-1/2), as do the unicode symbols ½ and ¾.
How does decimal to fraction work?
Terminating decimals convert exactly: 0.75 = 3/4. Other decimals use a continued-fraction search within the tolerance you choose, so 0.333333 becomes 1/3 rather than 333333/1000000. Type 0.(3) for an exact repeating decimal.
What is the common-denominator step?
To add or subtract, both fractions are rewritten over the least common multiple of their denominators. 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
How are fractions divided?
Flip the second fraction and multiply. 1/2 ÷ 1/3 = 1/2 × 3/1 = 3/2 = 1 1/2. Dividing by zero shows not defined.
How do I compare 5/8 and 3/5?
The compare tab converts both and shows which is larger: 5/8 = 0.625, 3/5 = 0.6, so 5/8 is larger.
Why does 1/3 show as 0.(3)?
The parentheses mark the repeating digit. The fraction-to-decimal tab also shows the long-division steps that reveal the repeat.
Can I chain more than two fractions?
Yes. Add as many operands as you like; operations apply left to right with steps for each.