Compare and sort in ascending order the two ordinary fractions, which one is larger: - 7/14 vs. - 9/19. Ordinary fractions compared and sorted in ascending order, result explained below

The operation of comparing fractions:
- 7/14 vs. - 9/19

Reduce (simplify) fractions to their lowest terms equivalents:

- 7/14 = - 7/(2 × 7) = - (7 ÷ 7)/((2 × 7) ÷ 7) = - 1/2;


- 9/19 already reduced to the lowest terms;
the numerator and the denominator have no common prime factors:
9 = 32;
19 is a prime number;


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 = - (9 × 1)/(9 × 2) = - 9/18;


The fractions have the same numerator, compare their denominators.

The larger the denominator the larger the negative fraction.

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

The fractions sorted in ascending order:
- 9/18 < - 9/19

The initial fractions in ascending order:
- 7/14 < - 9/19

Compare and sort the fractions in ascending order:
- 7/14 vs. - 10/18


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

13/8 < 11/6 Jul 02 22:48 UTC (GMT)
- 7/14 < - 9/19 Jul 02 22:48 UTC (GMT)
23/30 < 31/40 Jul 02 22:48 UTC (GMT)
4/9 < 12/19 Jul 02 22:48 UTC (GMT)
- 5230 < - 527/3 < - 525/7 < - 1170/17 < - 489/13 < - 318/13 < - 239/11 < - 95/12 < - 67/9 < - 22/7 < - 25/11 < - 33/16 < - 25/14 < - 7/17 Jul 02 22:48 UTC (GMT)
- 24/52 < - 14/46 Jul 02 22:48 UTC (GMT)
- 24/107 < - 21/102 Jul 02 22:48 UTC (GMT)
- 37/109 < - 40/119 Jul 02 22:48 UTC (GMT)
20/100 < 13/64 Jul 02 22:48 UTC (GMT)
- 26/33 < - 30/40 < - 19/32 < - 16/37 Jul 02 22:48 UTC (GMT)
1/2 < 2 < 31/12 Jul 02 22:48 UTC (GMT)
3/8 < 4/10 Jul 02 22:48 UTC (GMT)
3/4 < 14/13 < 4/3 Jul 02 22:48 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: