Compare and sort in ascending order the two ordinary fractions, which one is larger: 19/8 vs. 22/11. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
19/8 vs. 22/11

Reduce (simplify) fractions to their lowest terms equivalents:

19/8 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
19 is a prime number;
8 = 23;


22/11 = (2 × 11)/11 = ((2 × 11) ÷ 11)/(11 ÷ 11) = 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 = (8 × 2)/(8 × 1) = 16/8;


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:
16/8 < 19/8

The initial fractions in ascending order:
22/11 < 19/8

Compare and sort the fractions in ascending order:
19/8 vs. 22/18


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

22/11 < 19/8 Jul 04 09:25 UTC (GMT)
20/15 < 26/17 < 24/15 < 22/9 < 21/8 < 26/9 < 43/10 Jul 04 09:25 UTC (GMT)
- 69/28 < - 67/31 < - 55/29 < - 72/40 < - 67/42 < - 44/35 Jul 04 09:25 UTC (GMT)
- 33/76 < - 23/71 Jul 04 09:25 UTC (GMT)
- 910 < - 913/4 Jul 04 09:25 UTC (GMT)
1/5 = 2/10 Jul 04 09:25 UTC (GMT)
- 13/22 < - 5/16 Jul 04 09:25 UTC (GMT)
- 63/120 < - 65/125 Jul 04 09:25 UTC (GMT)
3/10 < 4/5 Jul 04 09:25 UTC (GMT)
15/20 < 13/17 Jul 04 09:25 UTC (GMT)
41/80 < 50/90 Jul 04 09:25 UTC (GMT)
374/4 < 365 Jul 04 09:25 UTC (GMT)
2/4 < 4/6 Jul 04 09:25 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: