Compare and sort in ascending order the two ordinary fractions, which one is larger: 1/8 vs. 4/32. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
1/8 vs. 4/32

Reduce (simplify) fractions to their lowest terms equivalents:

1/8 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
1 cannot be factored into other prime factors;
8 = 23;


4/32 = 22/25 = (22 ÷ 22)/(25 ÷ 22) = 1/8;


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


The fractions are equal.

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

The fractions sorted in ascending order:
1/8 = 1/8

The initial fractions in ascending order:
1/8 = 4/32

Compare and sort the fractions in ascending order:
4/32 vs. 14/39


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

1/8 = 4/32 Jul 04 02:25 UTC (GMT)
10/21 < 7/12 Jul 04 02:25 UTC (GMT)
1/4 < 3/10 Jul 04 02:24 UTC (GMT)
- 47/103 < - 45/100 Jul 04 02:24 UTC (GMT)
3/32 < 6 Jul 04 02:24 UTC (GMT)
3/10 < 3/5 Jul 04 02:24 UTC (GMT)
11/25 < 15/23 < 15/22 < 18/24 Jul 04 02:24 UTC (GMT)
- 8/27 < - 3/20 Jul 04 02:24 UTC (GMT)
3 < 6 Jul 04 02:24 UTC (GMT)
8/9 < 9/10 Jul 04 02:24 UTC (GMT)
- 42/13 < - 35/11 Jul 04 02:24 UTC (GMT)
2/9 < 3/10 Jul 04 02:24 UTC (GMT)
- 6/14 = - 3/7 Jul 04 02:24 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: