Fraction Calculator
Add, subtract, multiply or divide two fractions, with the answer simplified and as a decimal.
Results
What this tool does
Fractions are the last piece of school arithmetic that stays genuinely useful for life — recipes, tape measures, spanner sizes, shares of a bill — and the first that people stop being able to do in their head. The hard part is never the arithmetic, it is remembering that you need a common denominator to add but not to multiply, and that dividing means turning the second fraction upside down. Every answer here comes back in lowest terms, as a mixed number, as a decimal and as a percentage.
Formula
adds, subtracts, multiplies or divides two fractions and simplifies the result
Variables
| Symbol | Meaning | Unit |
|---|---|---|
num_1 | First numerator | — |
den_1 | First denominator | — |
mode | Operation | — |
num_2 | Second numerator | — |
den_2 | Second denominator | — |
OUT | Result | — |
MX | As a mixed number | — |
DE | Decimal | — |
PC | Percentage | % |
NU | Numerator | — |
DN | Denominator | — |
Worked example
- First numerator1
- First denominator3
- Operationadd
- Second numerator1
- Second denominator4
- Result7/12
- As a mixed number7/12
- Decimal0.583333
- Percentage58.3333 %
- Numerator7
- Denominator12
Limitations
- The calculation runs at full precision and only the display is rounded. If you copy an intermediate value and retype it, small differences can appear.
Frequently asked questions
Why does the answer sometimes look different from mine?
Because the result is always reduced to lowest terms. Two thirds times three quarters is six twelfths, which is correct, but six twelfths and one half are the same number and one half is the form a teacher will expect. The mixed number is shown alongside for the same reason: five thirds and one and two thirds are also the same, and which one is "the answer" depends entirely on who is asking.