Fractions

Comparing Fractions Calculator

Compare two fractions to find which is larger. The calculator converts both to a common denominator and compares the numerators, showing the working.

First
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Second

2/3 is less than 3/4

Step-by-step working

  1. Find a common denominator

    LCD(3,4)=12\text{LCD}(3,\, 4) = 12

    Convert both fractions to the same denominator to compare them directly.

  2. Convert the fractions

    23=812and34=912\frac{2}{3} = \frac{8}{12} \quad\text{and}\quad \frac{3}{4} = \frac{9}{12}

    Both fractions now have denominator 12, so we can compare their numerators.

  3. Compare the numerators

    8<9, so 23<348 < 9, \text{ so } \frac{2}{3} < \frac{3}{4}

    8 is less than 9, so the second fraction is larger.

    Result:3/4 is greater

Worked examples

2/3 vs 3/4

  1. 1
    LCD(3,4): = 12
  2. 2
    Convert: 8/12 vs 9/12
  3. 3
    Compare: 8 < 9
Answer: 2/3 < 3/4

5/6 vs 7/8

  1. 1
    LCD(6,8): = 24
  2. 2
    Convert: 20/24 vs 21/24
  3. 3
    Compare: 20 < 21
Answer: 5/6 < 7/8

3/4 vs 6/8

  1. 1
    LCD(4,8): = 8
  2. 2
    Convert: 6/8 vs 6/8
  3. 3
    Compare: 6 = 6
Answer: Equal

Frequently asked questions

How do you compare two fractions?+

Convert both fractions to a common denominator, then compare the numerators. The fraction with the larger numerator is the greater fraction.

How do you compare fractions quickly?+

Cross-multiply: multiply each numerator by the other denominator and compare the products.

Which is bigger, 2/3 or 3/4?+

3/4 is larger. Converting to a common denominator: 2/3 = 8/12 and 3/4 = 9/12. Since 9 > 8, 3/4 > 2/3.

How do you order fractions from smallest to largest?+

Convert all fractions to a common denominator, then order by numerator. Alternatively, convert to decimals and order numerically.

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