Compare and sort in ascending order the set of the ordinary fractions: - 9/16, - 9/15, - 10/8, - 10/6. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of sorting fractions in ascending order:
- 9/16, - 9/15, - 10/8, - 10/6

Analyze the fractions to be compared and ordered, by category:

negative improper fractions with equal numerators: - 10/8, - 10/6;


negative proper fractions with equal numerators: - 9/16, - 9/15;

How to sort and order fractions by categories:

Any negative improper fraction is smaller than


any negative proper fraction

We will sort the fractions of each of the above categories separately.

Sort the negative improper fractions:
- 10/8 vs. - 10/6

The fractions have the same numerator, compare their denominators.

The larger the denominator the larger the negative fraction.

The fractions sorted in ascending order:
- 10/6 < - 10/8


Sort the negative proper fractions:
- 9/16 vs. - 9/15

The fractions have the same numerator, compare their denominators.

The larger the denominator the larger the negative fraction.

The fractions sorted in ascending order:
- 9/15 < - 9/16


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

Negative improper fractions, in ascending order:
- 10/6 < - 10/8

Negative proper fractions, in ascending order:
- 9/15 < - 9/16

All the fractions sorted in ascending order:
- 10/6 < - 10/8 < - 9/15 < - 9/16

Compare and sort the fractions in ascending order:
19/9, 17/13, 18/26, 11/22


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

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: