Compare and sort in ascending order the two ordinary fractions, which one is larger: 5/8 vs. 15/14. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
5/8 vs. 15/14

Analyze the fractions to be compared and ordered, by category:

Positive fractions:


15/14: an improper fraction - larger than or equal to 1;


5/8: a proper fraction - smaller than 1;


The larger fraction is the improper one.

The fractions sorted in ascending order:
5/8 < 15/14

Compare and sort the fractions in ascending order:
- 5/8 vs. - 9/15

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

5/8 < 15/14 Jul 02 18:36 UTC (GMT)
37/57 < 44/65 Jul 02 18:36 UTC (GMT)
1/6 < 3 < 14 Jul 02 18:36 UTC (GMT)
4/12 < 12/32 < 9/19 Jul 02 18:36 UTC (GMT)
7/16 < 29/32 Jul 02 18:36 UTC (GMT)
1/13 < 1/11 Jul 02 18:36 UTC (GMT)
5/4 < 7/5 Jul 02 18:36 UTC (GMT)
10/18 < 2/3 Jul 02 18:36 UTC (GMT)
421/11 < 419 Jul 02 18:36 UTC (GMT)
4/8 < 13/10 Jul 02 18:36 UTC (GMT)
- 39/24 < - 29/18 Jul 02 18:36 UTC (GMT)
- 28/13 < - 21/30 < - 18/41 Jul 02 18:36 UTC (GMT)
1/20 < 41/50 Jul 02 18:36 UTC (GMT)
see more... compared fractions
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: