Compare and sort in ascending order the two ordinary fractions, which one is larger: 4/3 vs. 10/5. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
4/3 vs. 10/5

Reduce (simplify) fractions to their lowest terms equivalents:

4/3 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
4 = 22;
3 is a prime number;


10/5 = (2 × 5)/5 = ((2 × 5) ÷ 5)/(5 ÷ 5) = 2/1 = 2;


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


To sort fractions in ascending order, build up their denominators the same.

Expand the fraction that has 1 as a denominator


Multiply the numerator and the denominator by the same number:


2 = (3 × 2)/(3 × 1) = 6/3;


The fractions have the same denominator, compare their numerators.

The larger the numerator the larger the positive fraction.

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

The fractions sorted in ascending order:
4/3 < 6/3

The initial fractions in ascending order:
4/3 < 10/5

Compare and sort the fractions in ascending order:
- 4/3 vs. - 10/13


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

4/3 < 10/5 Oct 29 23:39 UTC (GMT)
- 48/55 < - 33/51 < - 32/65 Oct 29 23:39 UTC (GMT)
68/68 < 77/70 Oct 29 23:39 UTC (GMT)
- 16/15 < - 16/20 < - 7/10 < - 5/20 Oct 29 23:39 UTC (GMT)
3/8 < 3/6 < 3/4 Oct 29 23:39 UTC (GMT)
6/8 < 13/16 Oct 29 23:39 UTC (GMT)
1/83 < 20 Oct 29 23:38 UTC (GMT)
15/25 < 14/21 < 18/16 < 18/13 Oct 29 23:38 UTC (GMT)
14/29 < 12/20 Oct 29 23:38 UTC (GMT)
5/8 < 7/11 < 15/22 Oct 29 23:38 UTC (GMT)
568/867 < 566/857 Oct 29 23:38 UTC (GMT)
1/22 < 1/4 Oct 29 23:38 UTC (GMT)
16/32 < 18/34 Oct 29 23:38 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: