Compare and sort in ascending order the two ordinary fractions, which one is larger: 1/4 vs. 2/6. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
1/4 vs. 2/6

Reduce (simplify) fractions to their lowest terms equivalents:

1/4 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
1 cannot be factored into other prime factors;
4 = 22;


2/6 = 2/(2 × 3) = (2 ÷ 2)/((2 × 3) ÷ 2) = 1/3;


Reduce (simplify) fractions to their simplest form, online calculator


The fractions have the same numerator, compare their denominators.

The larger the denominator the smaller the positive fraction.

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

The fractions sorted in ascending order:
1/4 < 1/3

The initial fractions in ascending order:
1/4 < 2/6

Compare and sort the fractions in ascending order:
- 1/4 vs. - 6/14


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 < 2/6 Jul 02 18:25 UTC (GMT)
3/14 < 6/11 Jul 02 18:25 UTC (GMT)
1/32 < 7/16 Jul 02 18:25 UTC (GMT)
74/123 < 81/133 < 80/130 < 112/71 Jul 02 18:25 UTC (GMT)
- 13/19 < - 16/27 < - 13/29 Jul 02 18:25 UTC (GMT)
17/30 < 23/37 < 24/37 Jul 02 18:25 UTC (GMT)
131/137 < 126/127 Jul 02 18:25 UTC (GMT)
418/1043 < 60/86 < 48/66 < 64/77 < 64/43 < 75/43 < 74/39 < 194/49 < 802/135 Jul 02 18:24 UTC (GMT)
17/10 < 7/4 < 9/5 < 15/8 Jul 02 18:24 UTC (GMT)
120/1029 < 163/1038 < 41/26 < 46/28 Jul 02 18:24 UTC (GMT)
3/10 < 8/25 Jul 02 18:24 UTC (GMT)
1/8 < 3/4 Jul 02 18:24 UTC (GMT)
11/52 < 9/13 Jul 02 18:24 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: