Compare Fractions Calculator for
Comparing and Ordering Fractions

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The Compare Fractions Calculator on this page will determine which fraction is greater than the other.

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 step-by-step 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.

How Do You Compare Fractions?

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 Same 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:

Comparison with Same Denominators

4 > 3
5 5

Comparing Fractions with Different Denominators

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:

Comparing Fractions with Different Denominators

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.

Compare Fractions Calculator
Calcy sign introducing Compare Fractions Calculator


Instructions: Enter the whole number, numerator (top) and the denominator (bottom) of the 1st entry.

Next, enter the whole number, numerator and denominator of the 2nd entry, and then click the "Compare Fractions" button.

Note that for the first or the second entry you can either enter a whole number only, a mixed number, or a fraction only.

Mouse over the blue question marks for a further explanation of each entry field. More in-depth explanations can be found in the glossary of terms located beneath the Compare Fractions Calculator.

  Help 1st Entry   Help 2nd Entry
  Whole # Fraction   Whole # Fraction
Help Numerators (#): Vs
Help Denominators (#):
Help Greater of fractions, whole, or mixed numbers:

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Compare Fractions Calculator Glossary of Terms

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Least Common Multiple (LCM): The process used by the compare fractions calculator to find the smallest number that the denominators of two or more fractions will all divide into evenly. This process is necessary for adding, subtracting, or comparing fractions with different denominators.

1st Entry: If the 1st entry is a whole number only, leave the numerator and denominator blank. If the 1st entry is a mixed number, enter a positive integer for the whole number, the numerator, and denominator. If the 1st entry is a fraction only, leave the whole number field blank.

2nd Entry: If the 2nd entry is a whole number only, leave the numerator and denominator blank. If the 2nd entry is a mixed number, enter a positive integer for the whole number, the numerator, and denominator. If the 2nd entry is a fraction only, leave the whole number field blank.

Numerators: Enter the top number for the 1st entry if it contains a fraction and enter the top number for the 2nd entry if it contains a fraction. Leave the numerator and denominator fields blank for any 1st or 2nd entry that is a whole number only.

Denominators: Enter the bottom number for the 1st entry if it contains a fraction and enter the bottom number for the 2nd entry if it contains a fraction. Leave the numerator and denominator fields blank for any 1st or 2nd entry that is a whole number only.

Greater of fractions, whole, or mixed numbers: This is the greater of the two entries. After determining which entry is greater, the compare fractions calculator will show its work and give a detailed explanation of each step it took to arrive at the answer.

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