Compare and sort in ascending order the two ordinary fractions, which one is larger: 3/100 vs. 9/105. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
3/100 vs. 9/105

Reduce (simplify) fractions to their lowest terms equivalents:

3/100 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
3 is a prime number;
100 = 22 × 52;


9/105 = 32/(3 × 5 × 7) = (32 ÷ 3)/((3 × 5 × 7) ÷ 3) = 3/35;


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


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:
3/100 < 3/35

The initial fractions in ascending order:
3/100 < 9/105

Compare and sort the fractions in ascending order:
- 3/100 vs. - 10/106


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

6/30 < 10/25 < 7/4 < 8/3 Jul 02 21:34 UTC (GMT)
3/100 < 9/105 Jul 02 21:34 UTC (GMT)
34/45 < 28/35 Jul 02 21:33 UTC (GMT)
6/19 < 5/9 < 10/14 < 9/10 Jul 02 21:33 UTC (GMT)
33/100 < 1/3 Jul 02 21:33 UTC (GMT)
36/75 < 41/31 < 108/33 Jul 02 21:33 UTC (GMT)
10/36 < 16/40 < 13/24 < 13/14 Jul 02 21:33 UTC (GMT)
11/8 < 7/4 Jul 02 21:33 UTC (GMT)
2/3 < 915 Jul 02 21:33 UTC (GMT)
133/67 < 130/59 Jul 02 21:33 UTC (GMT)
46/66 < 56/68 Jul 02 21:33 UTC (GMT)
- 11/14 < - 1/8 Jul 02 21:33 UTC (GMT)
11/37 < 17/46 Jul 02 21:33 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: