Compare and sort in ascending order the set of the ordinary fractions: 6/9, 1/9, 8/9. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of sorting fractions in ascending order:
6/9, 1/9, 8/9

The fractions have the same denominator, compare their numerators.

The larger the numerator the larger the positive fraction.

The fractions sorted in ascending order:
1/9 < 6/9 < 8/9

Compare and sort the fractions in ascending order:
- 8/16, - 8/17, - 15/17

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

1/9 < 6/9 < 8/9 Jun 03 21:30 UTC (GMT)
59/100 < 57/96 Jun 03 21:30 UTC (GMT)
40/64 < 66/100 Jun 03 21:29 UTC (GMT)
6/32 < 1/4 Jun 03 21:29 UTC (GMT)
6/13 < 2/3 Jun 03 21:29 UTC (GMT)
19/70 < 29/73 Jun 03 21:29 UTC (GMT)
3/4 < 13/16 Jun 03 21:29 UTC (GMT)
1/3 < 23/30 Jun 03 21:29 UTC (GMT)
7/12 < 7/10 < 5/6 < 17/20 Jun 03 21:28 UTC (GMT)
1/4 < 1/3 < 32 < 40 Jun 03 21:28 UTC (GMT)
7/12 < 5/7 Jun 03 21:28 UTC (GMT)
11/16 < 17/24 Jun 03 21:28 UTC (GMT)
5/10 = 50/100 Jun 03 21:28 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: