Compare and sort in ascending order the two ordinary fractions, which one is larger: 13/5 vs. 13/6. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
13/5 vs. 13/6

The fractions have the same numerator, compare their denominators.

The larger the denominator the smaller the positive fraction.

The fractions sorted in ascending order:
13/6 < 13/5

Compare and sort the fractions in ascending order:
- 13/6 vs. - 19/15

Symbols: / fraction bar; ÷ divide; × multiply; + plus; - minus; = equal; < less than;

Compare and sort ordinary fractions, online calculator

The latest fractions compared and sorted in ascending order

13/6 < 13/5 Jan 26 15:52 UTC (GMT)
1/3 < 8/18 Jan 26 15:52 UTC (GMT)
- 27/38 < - 20/34 Jan 26 15:51 UTC (GMT)
16/21 < 7/9 Jan 26 15:50 UTC (GMT)
5/8 < 3/4 Jan 26 15:50 UTC (GMT)
- 14/20 < - 4/10 < - 4/14 Jan 26 15:50 UTC (GMT)
1/4 < 13/25 Jan 26 15:50 UTC (GMT)
- 23/15 < - 17/18 < - 18/27 < - 15/25 Jan 26 15:50 UTC (GMT)
3/6 < 2/3 Jan 26 15:50 UTC (GMT)
2/3 < 11/12 Jan 26 15:49 UTC (GMT)
8/19 < 7/12 < 8/12 Jan 26 15:49 UTC (GMT)
- 49/58 < - 39/50 Jan 26 15:49 UTC (GMT)
15/24 < 16/25 < 22/13 < 23/8 Jan 26 15:49 UTC (GMT)
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see more... sorted fractions

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: