# Compare and sort in ascending order the set of the ordinary fractions: 4/10, 10/15, 3/5, 14/30, 16/20. Ordinary fractions compared and sorted in ascending order, result explained below

## The latest fractions compared and sorted in ascending order

 4/10 < 14/30 < 3/5 < 10/15 < 16/20 Jun 05 14:08 UTC (GMT) 75/100 < 83/107 Jun 05 14:07 UTC (GMT) 10/61 < 17/71 Jun 05 14:07 UTC (GMT) 67/9 < 23/3 Jun 05 14:07 UTC (GMT) - 8/60 < - 3/50 Jun 05 14:07 UTC (GMT) - 103/112 < - 95/107 Jun 05 14:07 UTC (GMT) - 44/125 < - 39/120 Jun 05 14:07 UTC (GMT) 6/25 < 1/4 < 13/50 < 11/40 Jun 05 14:07 UTC (GMT) - 78/100 < - 84/108 Jun 05 14:07 UTC (GMT) - 10/12 < - 9/14 < - 9/16 < - 5/13 Jun 05 14:07 UTC (GMT) 375/1000 < 382/1009 Jun 05 14:07 UTC (GMT) 38/125 < 3/7 Jun 05 14:07 UTC (GMT) 3/10 < 3/5 Jun 05 14:06 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).