This free online fraction comparison calculator will compare one entered fraction or mixed number with a second entered fraction or mixed number, and let you know which is greater.
Plus, unlike other online fraction calculators, this calculator will show its work and give a detailed stepbystep explanation as to how it arrived at the answer.
Also, be sure to check out my other online math calculators for help with fraction adding and subtracting, multiplying, dividing, and reducing.
The answer to that question depends on whether you are comparing fractions with same denominators or if you are comparing fractions with different denominators.
Comparing fractions with the same denominators (bottom number) is easy. All you do is compare the numerators to see which fraction is greater, like this:
4  >  3 
5  5 
Comparing fractions with different denominators requires a little more work (unless you use the compare fractions calculator on this page), because in order to compare the fractions you must first turn their different denominators into the same denominators. You do that by finding the least common multiple (LCM) of the denominators.
To illustrate how you use LCM to turn different denominators into same denominators, let's suppose you want to compare the fraction 2/3 to the fraction 3/4 to see which is greater.
The first step is to find the lowest number that both 3 and 4 will divide into evenly (the LCM). According to my calculations, the LCM of the two denominators (3 & 4) is 12.
Once we have found the LCM for the two denominators, the next step is to multiply the top and bottom of each fraction by the number of times each fraction's denominator goes into the LCM.
Since 3 goes into 12 a total of 4 times, you would multiply the top and bottom of 2/3 by 4, which results in 8/12.
Next, since 4 goes into 12 a total of 3 times, you would multiply the top and bottom of 3/4 by 3, which results in 9/12.
Finally, since both denominators are now the same, you compare the numerators (8 and 9) to determine which fraction is greater. Since 9 is greater than 8, 9/12 is greater than 8/12  therefore 3/4 is greater than 2/3. Here is how our example of comparing fractions with different denominators might appear on paper:
Step #1:  2^{ x 4}  Vs  3^{ x 3}  =  8  Vs  9  
3^{ x 4}  4^{ x 3}  12  12 
Step #2:  8  <  9  
12  12 
With that, let's use the Compare Fractions Calculator to determine which fraction or mixed number is greater than another fraction or mixed number.

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