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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

  1. LCD = 12: 3/4 = 9/12, 2/3 = 8/12
  2. 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.