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:
13/5 vs. 15/8

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

3/5 < 8 < 17/2 Sep 24 03:18 UTC (GMT)
13/6 < 13/5 Sep 24 03:18 UTC (GMT)
10/3 < 91/27 Sep 24 03:18 UTC (GMT)
- 29/43 < - 22/35 Sep 24 03:18 UTC (GMT)
1/6 < 5/12 < 1 Sep 24 03:18 UTC (GMT)
- 47/3 < - 13/5 < - 14/9 < - 9/13 Sep 24 03:18 UTC (GMT)
3/28 < 13/34 Sep 24 03:17 UTC (GMT)
- 47/50 < - 37/46 Sep 24 03:17 UTC (GMT)
- 3 < - 0 < 1/2 Sep 24 03:17 UTC (GMT)
24/54 < 22/43 < 34/63 < 38/55 < 28/33 Sep 24 03:17 UTC (GMT)
- 43/116 < - 38/108 Sep 24 03:17 UTC (GMT)
- 66/46 < - 68/53 < - 37/71 Sep 24 03:17 UTC (GMT)
1/2 < 11/20 < 4/7 < 3/5 < 3 = 3 = 3 = 3 Sep 24 03:17 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: