About this calculator
The Fraction to Ratio Calculator converts a fraction into part-to-whole and part-to-remainder ratio forms. It helps show the relationship between a selected part, the total, and what remains.
fraction to ratio calculator method
For a fraction n/d, the part-to-whole ratio is n:d. The part-to-remainder ratio is n:(d - n), assuming the fraction describes part of a whole.
- part:whole = numerator:denominator
- part:remainder = numerator:(denominator - numerator)
How to use the fraction to ratio calculator
- Enter the numerator and denominator.
- Simplify the fraction if possible.
- Use numerator:denominator for part to whole.
- Subtract numerator from denominator to find the remainder.
- Use numerator:remainder for part to remainder.
Worked examples
Three quarters
Input: 3/4
Calculation: Part:whole = 3:4 and remainder = 4 - 3 = 1
Result: 3:4 and 3:1
Two fifths
Input: 2/5
Calculation: Remainder = 5 - 2 = 3
Result: Part:whole 2:5, part:remainder 2:3
Part to whole
Part-to-whole compares the selected amount with the total amount.
Part to remainder
Part-to-remainder compares the selected amount with the amount not selected.
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.
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