# Compare and sort in ascending order the two ordinary fractions, which one is larger: 19/30 vs. 1/2. Ordinary fractions compared and sorted in ascending order, result explained below

## The latest fractions compared and sorted in ascending order

 1/2 < 19/30 Jul 02 18:46 UTC (GMT) - 80/68 < - 70/66 Jul 02 18:46 UTC (GMT) 8/24 < 3/8 Jul 02 18:46 UTC (GMT) 7/128 < 9/128 < 2 = 2 Jul 02 18:46 UTC (GMT) - 78/51 < - 62/46 < - 48/69 < - 43/73 < - 38/66 Jul 02 18:46 UTC (GMT) 1/16 < 3/8 Jul 02 18:46 UTC (GMT) - 24/53 < - 26/60 Jul 02 18:46 UTC (GMT) 3/5 < 5/7 < 7/9 < 11/13 Jul 02 18:46 UTC (GMT) 32/68 < 34/66 < 33/56 < 41/66 < 38/60 < 43/65 < 42/62 < 44/42 Jul 02 18:46 UTC (GMT) 1/8 < 1/4 < 3/8 < 9/16 < 3/4 < 1 Jul 02 18:46 UTC (GMT) 20/30 < 21/30 Jul 02 18:46 UTC (GMT) - 1179/21 < - 540/15 < - 500/17 < - 330/19 < - 244/16 < - 106/20 < - 5 < - 72/18 < - 40/12 < - 37/14 < - 46/22 < - 19/10 < - 31/17 < - 17/30 Jul 02 18:46 UTC (GMT) - 7/13 < - 3/8 Jul 02 18:46 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).