3 Fractions Calculator
Enter three fractions, choose the two operators, then click Calculate. The tool simplifies the final answer automatically.
Fraction 1
Fraction 2
Fraction 3
How this fractions calculator with 3 fractions works
This tool is built to solve expressions that include exactly three fractions and two operations. For example:
1/2 + 3/4 − 5/6 or 2/3 × 4/5 ÷ 7/8.
After you enter your values, the calculator computes the result as an exact fraction, simplifies it, then shows a decimal and mixed-number form when useful.
Why use a 3-fraction calculator?
- Accuracy: avoids arithmetic mistakes with common denominators and sign handling.
- Speed: immediately solves multi-step fraction expressions.
- Clarity: shows both simplified fraction and decimal output.
- Learning support: the step summary helps you verify your manual work.
Order of operations options
1) Normal precedence
This follows standard math rules: multiplication and division are done before addition and subtraction. Example: in 1/2 + 3/4 × 2/3, the multiplication happens first.
2) Strict left to right
This evaluates from left to right no matter which operators are used. It can produce a different answer than precedence mode, so choose the method that matches your class or assignment instructions.
Quick manual method (for checking)
- Convert each fraction to a consistent sign format (keep denominators positive).
- Apply multiplication or division by multiplying numerators/denominators (and invert for division).
- For addition or subtraction, find a common denominator.
- Simplify the final fraction using greatest common divisor (GCD).
Common mistakes to avoid
- Using 0 as a denominator (undefined).
- Forgetting to invert the second fraction during division.
- Ignoring negative signs when simplifying.
- Mixing precedence rules accidentally.
Example problems
Example A: Addition and subtraction
1/2 + 3/4 − 5/6 gives a simplified result of 5/12.
Example B: Multiplication then division
2/3 × 4/5 ÷ 7/8 gives 64/105.
Who this is for
This calculator is useful for middle school, high school, college refresher work, homeschool math, and quick professional checks whenever exact fractional arithmetic matters.