About this calculator
The Comparing Fractions Calculator orders fractions and shows which one is larger or smaller. It converts fractions to a common denominator so the comparison is visible and easy to check.
comparing fractions calculator method
Fractions can be compared by converting them to the LCD and comparing numerators, or by comparing decimal values. The LCD method is usually clearer for school work.
- convert a/b to (a x LCD/b) / LCD
- larger converted numerator = larger fraction
How to use the comparing fractions calculator
- Enter two or more fractions.
- Choose ascending or descending order.
- Find the LCD of all denominators.
- Convert every fraction to the LCD.
- Compare the converted numerators.
- Read the ordered result.
Worked examples
Compare 1/2 and 3/5
Input: 1/2, 3/5
Calculation: LCD = 10; 1/2 = 5/10 and 3/5 = 6/10
Result: 3/5 is larger
Order three fractions
Input: 1/3, 1/2, 2/5
Calculation: LCD = 30; 10/30, 15/30, 12/30
Result: 1/3 < 2/5 < 1/2
Common denominator comparison
Once fractions have the same denominator, the larger numerator represents the larger fraction.
Decimal comparison
Decimal comparison can be quick, but repeating decimals may hide the exact relationship. LCD working is often clearer.
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
- Equivalent Fractions Calculator
- LCD Calculator
- Fraction Calculator