# Compare and sort in ascending order the set of the ordinary fractions: 30/9, 30/17, 36/20, 30/18. Ordinary fractions compared and sorted in ascending order, result explained below

## The latest fractions compared and sorted in ascending order

 8/14 < 13/15 < 9/8 Jul 06 22:56 UTC (GMT) 30/18 < 30/17 < 36/20 < 30/9 Jul 06 22:56 UTC (GMT) - 32/17 < - 38/25 Jul 06 22:56 UTC (GMT) 2/5 = 6/15 Jul 06 22:56 UTC (GMT) - 140/26 < - 32/29 < - 17/23 < - 21/41 Jul 06 22:56 UTC (GMT) 2/9 < 3/4 Jul 06 22:56 UTC (GMT) 43/10 < 41/4 Jul 06 22:56 UTC (GMT) 6/16 < 5/13 < 6/13 Jul 06 22:56 UTC (GMT) 32/55 < 39/62 < 35/47 < 33/32 Jul 06 22:56 UTC (GMT) 47/60 < 45/55 Jul 06 22:56 UTC (GMT) 135/474 < 331/676 < 145/7 < 332/13 < 470/11 < 669/15 Jul 06 22:56 UTC (GMT) 1/4 < 7/8 < 4 < 5 Jul 06 22:56 UTC (GMT) 18/24 = 21/28 Jul 06 22:56 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).