About this calculator
The Subtracting Fractions Calculator subtracts fractions step by step. It handles unlike denominators by finding the LCD and is useful for checking homework, measurements, and mixed fraction subtraction.
subtracting fractions calculator method
To subtract fractions, convert them to a common denominator, subtract the numerators in order, then simplify the result.
- LCD = LCM of denominators
- a/b - c/d = converted first numerator / LCD - converted second numerator / LCD
- difference = numerator difference / LCD
How to use the subtracting fractions calculator
- Enter the starting fraction.
- Enter the fraction or fractions to subtract.
- Find the LCD.
- Convert each fraction to the LCD.
- Subtract numerators from left to right.
- Simplify the answer.
Worked examples
Subtract unlike denominators
Input: 3/4 - 1/3
Calculation: LCD = 12; 9/12 - 4/12
Result: 5/12
Mixed-number style result
Input: 13/4 - 7/4
Calculation: 6/4 simplifies to 3/2
Result: 1 1/2
Order matters
Subtraction is not commutative. 3/4 - 1/3 gives a different result from 1/3 - 3/4.
Negative answers
If the fraction being subtracted is larger than the starting fraction, the result will be negative.
Learning and homework note
This calculator is for learning, checking, and general educational use. It shows the method so students can compare each step with their own working, but it should not replace learning the underlying fraction rules.
- Check that every denominator is not zero.
- Negative fractions can be written in more than one equivalent form.
- Rounding may affect decimal or percentage displays.
Frequently asked questions
Does this show the working?
Yes. The fraction calculators are designed to show the main steps, not just the final answer.
Does it simplify answers?
Yes. Fraction answers are reduced to lowest terms where simplification is part of the method.
Can denominators be zero?
No. A denominator of zero is undefined in fraction arithmetic.
Can I use negative fractions?
Yes, but pay attention to signs. The calculator normalises signs so the denominator stays positive.
Why might my teacher write the answer differently?
Equivalent fractions and mixed numbers can represent the same value. Check whether the question asks for improper fraction, mixed number, decimal, or simplest form.
Related calculators
- Fraction Calculator
- LCD Calculator
- Mixed Number Calculator