Compare and sort in ascending order the set of the ordinary fractions: 29/24, 26/24, 18/38, 18/34. Ordinary fractions compared and sorted in ascending order, result explained below

Sort: 29/24, 26/24, 18/38, 18/34

The operation of sorting fractions in ascending order:
29/24, 26/24, 18/38, 18/34

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

positive proper fractions with equal numerators: 18/38, 18/34;


positive improper fractions with equal denominators: 29/24, 26/24;

How to sort and order fractions by categories:

Any positive proper fraction is smaller than


any positive improper fraction

We will sort the fractions of each of the above categories separately.

Sort the positive proper fractions:
18/38 and 18/34

The fractions have the same numerator, compare their denominators.

The larger the denominator the smaller the positive fraction.

The fractions sorted in ascending order:
18/38 < 18/34


Sort the positive improper fractions:
29/24 and 26/24

The fractions have the same denominator, compare their numerators.

The larger the numerator the larger the positive fraction.

The fractions sorted in ascending order:
26/24 < 29/24


::: Comparing operation :::
The final answer:

Positive proper fractions, in ascending order:
18/38 < 18/34

Positive improper fractions, in ascending order:
26/24 < 29/24

All the fractions sorted in ascending order:
18/38 < 18/34 < 26/24 < 29/24

More operations of this kind:

Compare and sort the fractions in ascending order:
- 23/43, - 23/40, - 34/32, - 36/26


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

808/1,011 and 812/1,016? Jul 28 16:20 UTC (GMT)
29/24, 26/24, 18/38, 18/34? Jul 28 16:20 UTC (GMT)
- 39/103, - 50/94, - 65/82, - 93/66? Jul 28 16:20 UTC (GMT)
- 71/56, - 63/43, - 67/50, - 74/40, - 99/49, - 105/40? Jul 28 16:20 UTC (GMT)
- 81/4 and - 88/6? Jul 28 16:20 UTC (GMT)
- 126/331 and - 129/336? Jul 28 16:20 UTC (GMT)
808/1,011 and 812/1,016? Jul 28 16:20 UTC (GMT)
- 56/12 and - 64/20? Jul 28 16:20 UTC (GMT)
- 120/280 and - 122/286? Jul 28 16:20 UTC (GMT)
17/31, 23/35, 23/37? Jul 28 16:20 UTC (GMT)
31/44 and 33/47? Jul 28 16:20 UTC (GMT)
31/24 and 38/28? Jul 28 16:20 UTC (GMT)
17/9 and 25/13? Jul 28 16:20 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:

(1) What is a fraction? Fractions types. How do they compare?


(2) Fractions changing form, expand and reduce (simplify) fractions


(3) Reducing fractions. The greatest common factor, GCF


(4) How to, comparing two fractions with unlike (different) numerators and denominators


(5) Sorting fractions in ascending order


(6) Adding ordinary (common, simple) fractions


(7) Subtracting ordinary (common, simple) fractions


(8) Multiplying ordinary (common, simple) fractions


(9) Fractions, theory: rational numbers