Compare and sort in ascending order the two ordinary fractions, which one is larger: 30/54 vs. 5/9. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
30/54 vs. 5/9

Reduce (simplify) fractions to their lowest terms equivalents:

30/54 = (2 × 3 × 5)/(2 × 33) = ((2 × 3 × 5) ÷ (2 × 3))/((2 × 33) ÷ (2 × 3)) = 5/9;


5/9 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
5 is a prime number;
9 = 32;


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


The fractions are equal.

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

The fractions sorted in ascending order:
5/9 = 5/9

The initial fractions in ascending order:
5/9 = 30/54

Compare and sort the fractions in ascending order:
- 5/9 vs. - 14/13


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

5/9 = 30/54 Jul 02 19:11 UTC (GMT)
7/8 < 48/49 Jul 02 19:11 UTC (GMT)
2/4 < 8/12 Jul 02 19:11 UTC (GMT)
1/5 < 2/8 Jul 02 19:11 UTC (GMT)
6/4 < 5/3 Jul 02 19:11 UTC (GMT)
1/2 = 4/8 Jul 02 19:11 UTC (GMT)
15/32 < 14/25 < 17/29 < 16/19 Jul 02 19:11 UTC (GMT)
23/42 < 18/25 < 26/30 Jul 02 19:11 UTC (GMT)
5/10 < 10/14 Jul 02 19:10 UTC (GMT)
3/4 < 3/2 Jul 02 19:10 UTC (GMT)
23/15 < 15/8 Jul 02 19:10 UTC (GMT)
1821/913 < 1819/904 Jul 02 19:10 UTC (GMT)
9/16 < 7/8 Jul 02 19:10 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: