# Compare and sort in ascending order the set of the ordinary fractions: 9/20, 6/10, 10/17, 11/15, 6/7, 10/8, 14/5. Ordinary fractions compared and sorted in ascending order, result explained below

## The latest fractions compared and sorted in ascending order

 9/20 < 10/17 < 6/10 < 11/15 < 6/7 < 10/8 < 14/5 Feb 24 17:29 UTC (GMT) 1/6 < 2/3 < 31/12 < 13/4 < 10/3 Feb 24 17:29 UTC (GMT) - 25/5 < - 28/7 Feb 24 17:29 UTC (GMT) 303/500 < 313/503 Feb 24 17:29 UTC (GMT) 3/8 < 7/16 Feb 24 17:29 UTC (GMT) - 15/9 < - 6/9 < - 6/12 Feb 24 17:29 UTC (GMT) 1/12 < 4/12 Feb 24 17:29 UTC (GMT) - 28/32 < - 29/40 < - 14/43 Feb 24 17:29 UTC (GMT) - 75/100 = - 15/20 Feb 24 17:29 UTC (GMT) - 31/50 < - 27/49 < - 23/43 Feb 24 17:29 UTC (GMT) 9/12 < 20/25 Feb 24 17:29 UTC (GMT) 8/24 < 3/8 < 7/12 Feb 24 17:29 UTC (GMT) 11/20 < 4/7 Feb 24 17:29 UTC (GMT) see more... compared fractions see more... sorted 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).

• To compare them, fractions should be built up to the same denominator (or if it's easier, to the same numerator).