Equivalent Fractions Calculator
Find fractions equal to a given fraction, or compare two fractions to see which is bigger, with fraction bars and a number line.
About the Equivalent Fractions Calculator
Equivalent fractions name the same amount: 3/4 = 6/8 = 9/12. Multiplying (or dividing) the top and bottom by the same non-zero number never changes the value.
To compare two fractions, rewrite them over a common denominator so the pieces are the same size, then compare the numerators. On a number line, the fraction further right is bigger.
The formula
a/b = (a × k)/(b × k), for any k ≠ 0
Worked example
Compare 3/4 and 2/3
- LCD = 12: 3/4 = 9/12, 2/3 = 8/12
- 9 > 8, so 3/4 > 2/3
Questions people ask
Is 1/2 equal to 50/100?
Yes: multiply the top and bottom of 1/2 by 50.
Can I compare with decimals instead?
Yes, but fractions like 1/3 have endless decimals; a common denominator keeps it exact.