# Compare and sort in ascending order the set of the ordinary fractions: 6/9, 1/9, 8/9. Ordinary fractions compared and sorted in ascending order, result explained below

## The latest fractions compared and sorted in ascending order

 1/9 < 6/9 < 8/9 Jun 03 21:30 UTC (GMT) 59/100 < 57/96 Jun 03 21:30 UTC (GMT) 40/64 < 66/100 Jun 03 21:29 UTC (GMT) 6/32 < 1/4 Jun 03 21:29 UTC (GMT) 6/13 < 2/3 Jun 03 21:29 UTC (GMT) 19/70 < 29/73 Jun 03 21:29 UTC (GMT) 3/4 < 13/16 Jun 03 21:29 UTC (GMT) 1/3 < 23/30 Jun 03 21:29 UTC (GMT) 7/12 < 7/10 < 5/6 < 17/20 Jun 03 21:28 UTC (GMT) 1/4 < 1/3 < 32 < 40 Jun 03 21:28 UTC (GMT) 7/12 < 5/7 Jun 03 21:28 UTC (GMT) 11/16 < 17/24 Jun 03 21:28 UTC (GMT) 5/10 = 50/100 Jun 03 21:28 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).