Compare and sort in ascending order the set of the ordinary fractions: 4, 5/6, 3, 1/4. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of sorting fractions in ascending order:
4, 5/6, 3, 1/4

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

positive proper fractions: 5/6, 1/4;


positive integer numbers: 4, 3;

How to sort and order fractions by categories:

Any positive proper fraction is smaller than


any positive integer number

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

Sort the positive proper fractions:
5/6 vs. 1/4

To sort fractions, build them up to the same numerator.

Expand the fraction that has 1 as a numerator


Multiply the numerator and the denominator by the same number:


1/4 = (5 × 1)/(5 × 4) = 5/20;


The fractions have the same numerator, compare their denominators.

The larger the denominator the smaller the positive fraction.

The fractions sorted in ascending order:
5/20 < 5/6

The initial fractions in ascending order:
1/4 < 5/6


Sort the positive integer numbers:
4 vs. 3

Sort the integer numbers in ascending order.

Integer numbers sorted in ascending order:
3 < 4


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

Positive proper fractions, in ascending order:
1/4 < 5/6

Positive integer numbers, in ascending order:
3 < 4

All the fractions sorted in ascending order:
1/4 < 5/6 < 3 < 4

Compare and sort the fractions in ascending order:
8/13, 7/14, 15/6, 9/4


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

1/4 < 5/6 < 3 < 4 Jul 07 00:33 UTC (GMT)
2/12 < 3/13 Jul 07 00:33 UTC (GMT)
1/9 < 1/8 Jul 07 00:33 UTC (GMT)
3/4 < 16/20 Jul 07 00:33 UTC (GMT)
- 31/15 < - 26/16 < - 24/22 < - 19/23 Jul 07 00:31 UTC (GMT)
- 19/35 < - 23/45 Jul 07 00:31 UTC (GMT)
8/9 < 13/12 Jul 07 00:31 UTC (GMT)
- 6/19 < - 3/12 Jul 07 00:31 UTC (GMT)
- 37/47 < - 34/45 Jul 07 00:31 UTC (GMT)
- 12/74 < - 6/66 Jul 07 00:31 UTC (GMT)
- 16/4 < - 18/10 Jul 07 00:31 UTC (GMT)
11/32 < 5/8 Jul 07 00:31 UTC (GMT)
35/50 < 43/54 Jul 07 00:31 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: