Compare and sort in ascending order the two ordinary fractions, which one is larger: - 1/120 vs. - 10/122. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
- 1/120 vs. - 10/122

Reduce (simplify) fractions to their lowest terms equivalents:

- 1/120 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
1 cannot be factored into other prime factors;
120 = 23 × 3 × 5;


- 10/122 = - (2 × 5)/(2 × 61) = - ((2 × 5) ÷ 2)/((2 × 61) ÷ 2) = - 5/61;


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:


- 1/120 = - (5 × 1)/(5 × 120) = - 5/600;


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:
- 5/61 < - 5/600

The initial fractions in ascending order:
- 10/122 < - 1/120

Compare and sort the fractions in ascending order:
- 10/122 vs. - 12/132


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

- 10/122 < - 1/120 Oct 16 17:38 UTC (GMT)
4/10 = 40/100 Oct 16 17:38 UTC (GMT)
- 13/17 < - 15/25 Oct 16 17:38 UTC (GMT)
1/6 < 36 Oct 16 17:38 UTC (GMT)
- 23/9 < - 22/10 < - 20/18 Oct 16 17:38 UTC (GMT)
78/12 < 72/7 Oct 16 17:38 UTC (GMT)
- 22/30 < - 12/18 = - 10/15 < - 24/40 Oct 16 17:38 UTC (GMT)
12/20 < 13/20 < 12/17 < 10/14 < 11/9 Oct 16 17:38 UTC (GMT)
- 8/11 < - 1/3 Oct 16 17:38 UTC (GMT)
7/16 < 15/21 Oct 16 17:38 UTC (GMT)
- 141/75 < - 137/107 < - 90/159 Oct 16 17:38 UTC (GMT)
75/7 < 69 Oct 16 17:37 UTC (GMT)
29/32 < 25/26 Oct 16 17:37 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: