Equivalent Fractions Calculator
Equivalent fractions are different fractions with the same value, like 1/2 and 4/8. This calculator finds the numerator that goes with a new denominator, and reduces your fraction to its simplest form.
- Free
- Works offline after your first visit
- Saves on this device
- No sign-up
- Updated
How it works
To keep the same value, multiply the top and the bottom by the same number. The new numerator is the old numerator times the new denominator, divided by the old denominator.
The simplest form divides both numbers by their greatest common factor, the largest whole number that goes into both of them evenly.
Worked example
The fraction 3 over 4 equals 9 over 12. In simplest form it is 3 over 4.
Questions
What if the new denominator is not a multiple of the old one?
The new numerator will have a decimal part. Pick a denominator that is a multiple of the old one to get whole numbers.
How do I find the simplest form?
Divide the top and the bottom by their greatest common factor. When that number is 1, the fraction cannot be made any simpler.
Can the numerator be zero?
Yes. Zero over any number is zero, and its simplest form is zero over one.
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