Compare and sort in ascending order the two ordinary fractions, which one is larger: 1/2 vs. 7/8. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
1/2 vs. 7/8

Reduce (simplify) fractions to their lowest terms equivalents:

1/2 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
1 cannot be factored into other prime factors;
2 is a prime number;


7/8 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
7 is a prime number;
8 = 23;


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:


1/2 = (7 × 1)/(7 × 2) = 7/14;


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:
7/14 < 7/8

The initial fractions in ascending order:
1/2 < 7/8

Compare and sort the fractions in ascending order:
7/8 vs. 12/11


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

1/2 < 7/8 Jul 02 19:44 UTC (GMT)
- 12/4 < - 19/7 Jul 02 19:44 UTC (GMT)
3/5 < 2/3 < 7/9 < 9/11 < 8/9 Jul 02 19:44 UTC (GMT)
- 44/25 < - 25/44 < - 28/52 Jul 02 19:44 UTC (GMT)
- 40/49 < - 31/46 Jul 02 19:44 UTC (GMT)
10/6 = 15/9 Jul 02 19:44 UTC (GMT)
31/75 < 29/70 Jul 02 19:43 UTC (GMT)
17/6 < 4 < 17/3 < 11 Jul 02 19:43 UTC (GMT)
- 15/24 < - 19/34 Jul 02 19:43 UTC (GMT)
12/13 < 17/18 Jul 02 19:43 UTC (GMT)
- 58/11 < - 31/30 < - 19/21 < - 28/37 < - 16/25 < - 8/21 Jul 02 19:43 UTC (GMT)
48/82 < 64/62 < 80/47 Jul 02 19:43 UTC (GMT)
8/22 < 12/14 Jul 02 19:43 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: