Compare and sort in ascending order the two ordinary fractions, which one is larger: - 2/8 vs. - 8/18. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
- 2/8 vs. - 8/18

Reduce (simplify) fractions to their lowest terms equivalents:

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


- 8/18 = - 23/(2 × 32) = - (23 ÷ 2)/((2 × 32) ÷ 2) = - 4/9;


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:


- 1/4 = - (4 × 1)/(4 × 4) = - 4/16;


The fractions have the same numerator, compare their denominators.

The larger the denominator the larger the negative fraction.

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

The fractions sorted in ascending order:
- 4/9 < - 4/16

The initial fractions in ascending order:
- 8/18 < - 2/8

Compare and sort the fractions in ascending order:
- 8/18 vs. - 11/28


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

- 8/18 < - 2/8 Jul 02 18:48 UTC (GMT)
- 10/11 < - 8/12 < - 11/24 Jul 02 18:48 UTC (GMT)
- 16/30 < - 10/20 Jul 02 18:48 UTC (GMT)
9/16 < 7/11 Jul 02 18:48 UTC (GMT)
- 94/43 < - 107/49 < - 103/49 < - 98/57 < - 57/81 < - 48/75 Jul 02 18:48 UTC (GMT)
0/8 < 1 Jul 02 18:48 UTC (GMT)
- 24/123 < - 20/115 Jul 02 18:48 UTC (GMT)
- 7/16 < - 2/7 Jul 02 18:48 UTC (GMT)
6/15 < 8/18 < 9/13 Jul 02 18:48 UTC (GMT)
- 418/3 < - 424/12 Jul 02 18:48 UTC (GMT)
1/4 < 3/11 Jul 02 18:48 UTC (GMT)
- 27/35 < - 28/42 < - 25/40 < - 20/46 Jul 02 18:48 UTC (GMT)
1/16 < 3/16 Jul 02 18:48 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: