Compare ordinary fractions, online calculator: sort them in ascending order by using equivalent fractions. Which one is larger or smaller?

Your input must contain ordinary fractions (fractions with integer numbers as numerators and denominators)

Compare and sort ordinary fractions, online calculator

The latest fractions compared and sorted in ascending order

2/3 < 11/15 Aug 11 09:03 UTC (GMT)
18/34 < 23/31 < 13/17 < 27/35 < 26/31 < 24/28 Aug 11 09:03 UTC (GMT)
- 57/78 < - 59/87 Aug 11 09:02 UTC (GMT)
5/4 < 14/7 Aug 11 09:02 UTC (GMT)
70/130 < 76/136 Aug 11 09:02 UTC (GMT)
- 57/85 < - 47/71 < - 42/78 Aug 11 09:02 UTC (GMT)
38/41 < 46/46 Aug 11 09:02 UTC (GMT)
39/55 < 33/46 Aug 11 09:02 UTC (GMT)
- 26/34 < - 23/32 Aug 11 09:02 UTC (GMT)
3/5 = 9/15 < 6 Aug 11 09:02 UTC (GMT)
7/6 < 5/4 Aug 11 09:02 UTC (GMT)
5/41 < 39/41 Aug 11 09:02 UTC (GMT)
41/100 < 11/20 Aug 11 09:02 UTC (GMT)
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Tutoring: Comparing ordinary fractions

How to compare two fractions?

1. Fractions that have different signs:

  • Any positive fraction is larger than any negative fraction:
  • ie: 4/25 > - 19/2

2. A proper and an improper fraction:

  • Any positive improper fraction is larger than any positive proper fraction:
  • ie: 44/25 > 1 > 19/200
  • Any negative improper fraction is smaller than any negative proper fraction:
  • ie: - 44/25 < -1 < - 19/200

3. Fractions that have both like numerators and denominators:

  • The fractions are equal:
  • ie: 89/50 = 89/50

4. Fractions that have unlike (different) numerators but like (equal) denominators.

  • Positive fractions: compare the numerators, the larger fraction is the one with the larger numerator:
  • ie: 24/25 > 19/25
  • Negative fractions: compare the numerators, the larger fraction is the one with the smaller numerator:
  • ie: - 19/25 < - 17/25

5. Fractions that have unlike (different) denominators but like (equal) numerators.

  • Positive fractions: compare the denominators, the larger fraction is the one with the smaller denominator:
  • ie: 24/25 > 24/26
  • Negative fractions: compare the denominators, the larger fraction is the one with the larger denominator:
  • ie: - 17/25 < - 17/29

6. Fractions that have different denominators and numerators (unlike denominators and numerators).

More on ordinary (common) math fractions theory: