Compare and sort in ascending order the set of the ordinary fractions: - 81/112, - 12/8, - 7/7. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of sorting fractions in ascending order:
- 81/112, - 12/8, - 7/7

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

negative improper fractions: - 12/8, - 7/7;


1 negative proper fraction: - 81/112;

How to sort and order fractions by categories:

Any negative improper fraction is smaller than


any negative proper fraction

Sort the negative improper fractions:
- 12/8 vs. - 7/7

Reduce (simplify) fractions to their lowest terms equivalents:

- 12/8 = - (22 × 3)/23 = - ((22 × 3) ÷ 22)/(23 ÷ 22) = - 3/2;


- 7/7 = - (7 ÷ 7)/(7 ÷ 7) = - 1/1 = - 1;


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


To sort fractions in ascending order, build up their denominators the same.

Expand the fraction that has 1 as a denominator


Multiply the numerator and the denominator by the same number:


- 1 = - (2 × 1)/(2 × 1) = - 2/2;


The fractions have the same denominator, compare their numerators.

The larger the numerator the smaller the negative fraction.

The fractions sorted in ascending order:
- 3/2 < - 2/2

The initial fractions in ascending order:
- 12/8 < - 7/7


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

Negative improper fractions, in ascending order:
- 12/8 < - 7/7

All the fractions sorted in ascending order:
- 12/8 < - 7/7 < - 81/112

Compare and sort the fractions in ascending order:
- 22/14, - 11/9, - 89/119


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

- 12/8 < - 7/7 < - 81/112 Jul 02 21:03 UTC (GMT)
- 19/22 < - 13/19 < - 7/12 < - 6/15 Jul 02 21:03 UTC (GMT)
1/2 < 1 Jul 02 21:03 UTC (GMT)
19/28 < 16/23 < 23/32 Jul 02 21:03 UTC (GMT)
5/32 < 3/8 < 1/2 < 3/4 Jul 02 21:03 UTC (GMT)
21/47 < 31/57 Jul 02 21:02 UTC (GMT)
45/57 < 43/52 Jul 02 21:02 UTC (GMT)
7/9 < 5/2 Jul 02 21:02 UTC (GMT)
2 < 17 < 26 < 27 < 33 < 37 < 42 Jul 02 21:02 UTC (GMT)
1/3 < 7/12 < 5/6 Jul 02 21:02 UTC (GMT)
21/30 < 27/30 < 22/22 Jul 02 21:02 UTC (GMT)
- 28/76 < - 21/69 Jul 02 21:02 UTC (GMT)
52/6 < 81/8 < 60/5 = 72/6 Jul 02 21:02 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: