Compare and sort in ascending order the two ordinary fractions, which one is larger: 4/8 vs. 1/3. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
4/8 vs. 1/3

Reduce (simplify) fractions to their lowest terms equivalents:

4/8 = 22/23 = (22 ÷ 22)/(23 ÷ 22) = 1/2;


1/3 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
1 cannot be factored into other prime factors;
3 is a prime number;


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:
1/3 < 1/2

The initial fractions in ascending order:
1/3 < 4/8

Compare and sort the fractions in ascending order:
4/8 vs. 11/16


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

1/3 < 4/8 Jul 06 22:37 UTC (GMT)
5/12 < 5/6 < 9/10 Jul 06 22:37 UTC (GMT)
7/10 < 15/19 Jul 06 22:37 UTC (GMT)
1/2 < 19/20 Jul 06 22:37 UTC (GMT)
9/16 < 11/16 Jul 06 22:37 UTC (GMT)
10/22 < 10/17 < 13/20 < 12/17 Jul 06 22:37 UTC (GMT)
- 28/7 < - 34/22 < - 25/22 Jul 06 22:37 UTC (GMT)
- 61/119 < - 52/109 Jul 06 22:37 UTC (GMT)
- 37/15 < - 37/16 < - 33/17 < - 36/23 < - 31/27 Jul 06 22:37 UTC (GMT)
- 21/109 < - 15/107 Jul 06 22:37 UTC (GMT)
1/30 < 8/36 Jul 06 22:36 UTC (GMT)
- 60/35 < - 55/33 Jul 06 22:36 UTC (GMT)
43/66 < 48/69 < 56/37 Jul 06 22:36 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: