Compare and sort in ascending order the two ordinary fractions, which one is larger: 1/2 vs. 5/8. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
1/2 vs. 5/8

Reduce (simplify) fractions to their lowest terms equivalents:

1/2 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
1 cannot be factored into other prime factors;
2 is a prime number;


5/8 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
5 is a prime number;
8 = 23;


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


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:


1/2 = (5 × 1)/(5 × 2) = 5/10;


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:
5/10 < 5/8

The initial fractions in ascending order:
1/2 < 5/8

Compare and sort the fractions in ascending order:
- 1/2 vs. - 6/5


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

1/2 < 5/8 Jul 06 23:25 UTC (GMT)
10/40 < 8/28 < 13/40 < 9/24 < 7/17 < 10/10 Jul 06 23:25 UTC (GMT)
3/32 < 5/16 Jul 06 23:25 UTC (GMT)
2/10 < 35/100 Jul 06 23:25 UTC (GMT)
30/1009 < 11/21 < 9/17 < 1000/1003 < 19/8 < 13/5 < 26/9 Jul 06 23:25 UTC (GMT)
- 24/31 < - 27/43 < - 23/39 < - 47/90 Jul 06 23:25 UTC (GMT)
9/64 < 17/68 Jul 06 23:25 UTC (GMT)
2/3 < 6/6 Jul 06 23:25 UTC (GMT)
56/94 < 55/86 < 54/75 Jul 06 23:25 UTC (GMT)
34/46 < 44/50 Jul 06 23:25 UTC (GMT)
6/41 < 16/44 Jul 06 23:25 UTC (GMT)
- 48/64 < - 51/70 Jul 06 23:25 UTC (GMT)
5/9 = 15/27 Jul 06 23:25 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: