Compare and sort in ascending order the two ordinary fractions, which one is larger: 3/7 vs. 1/8. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
3/7 vs. 1/8

Reduce (simplify) fractions to their lowest terms equivalents:

3/7 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
3 is a prime number;
7 is a prime number;


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;


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:


1/8 = (3 × 1)/(3 × 8) = 3/24;


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:
3/24 < 3/7

The initial fractions in ascending order:
1/8 < 3/7

Compare and sort the fractions in ascending order:
3/7 vs. 9/13


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 < 3/7 Aug 11 09:55 UTC (GMT)
3/10 < 4/11 Aug 11 09:55 UTC (GMT)
- 1/5 < - 1/10 Aug 11 09:55 UTC (GMT)
10/100 < 999/1000 Aug 11 09:55 UTC (GMT)
4/29 < 9/28 < 10/20 Aug 11 09:55 UTC (GMT)
15/32 < 21/39 Aug 11 09:55 UTC (GMT)
1/8 < 4/8 Aug 11 09:55 UTC (GMT)
- 14/41 < - 11/34 Aug 11 09:55 UTC (GMT)
26/21 < 19/15 Aug 11 09:55 UTC (GMT)
17/23 < 3/4 < 3 = 3 Aug 11 09:55 UTC (GMT)
7/48 < 9/20 Aug 11 09:55 UTC (GMT)
2/16 < 3/16 Aug 11 09:55 UTC (GMT)
3/7 < 4/8 Aug 11 09:55 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: