Compare and sort in ascending order the two ordinary fractions, which one is larger: 7/10 vs. 2/12. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
7/10 vs. 2/12

Reduce (simplify) fractions to their lowest terms equivalents:

7/10 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
7 is a prime number;
10 = 2 × 5;


2/12 = 2/(22 × 3) = (2 ÷ 2)/((22 × 3) ÷ 2) = 1/6;


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:


1/6 = (7 × 1)/(7 × 6) = 7/42;


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:
7/42 < 7/10

The initial fractions in ascending order:
2/12 < 7/10

Compare and sort the fractions in ascending order:
- 2/12 vs. - 10/19


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

2/12 < 7/10 Jul 04 02:20 UTC (GMT)
11/32 < 11/16 Jul 04 02:20 UTC (GMT)
- 2/3 < - 66/100 Jul 04 02:20 UTC (GMT)
4/9 < 4/3 Jul 04 02:20 UTC (GMT)
- 17/31 < - 11/25 Jul 04 02:20 UTC (GMT)
- 8/19 < - 7/17 < - 5/13 Jul 04 02:20 UTC (GMT)
16/24 < 45/32 < 31/20 < 40/20 Jul 04 02:20 UTC (GMT)
8/23 < 11/25 < 15/27 < 15/24 < 16/19 < 23/9 < 27/5 Jul 04 02:19 UTC (GMT)
11/26 < 16/30 Jul 04 02:19 UTC (GMT)
- 19/5 < - 25/8 Jul 04 02:19 UTC (GMT)
9/4 = 27/12 Jul 04 02:19 UTC (GMT)
3/6 < 8/12 Jul 04 02:19 UTC (GMT)
- 6/14 < - 1/6 Jul 04 02:19 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: