# Compare and sort in ascending order the two ordinary fractions, which one is larger: 16/31 vs. 20/41. Ordinary fractions compared and sorted in ascending order, result explained below

## The latest fractions compared and sorted in ascending order

 34/23 < 30/18 Jul 04 10:31 UTC (GMT) 20/41 < 16/31 Jul 04 10:31 UTC (GMT) - 78/143 < - 72/135 Jul 04 10:31 UTC (GMT) - 32/28 < - 34/34 Jul 04 10:31 UTC (GMT) 1/8 = 2/16 Jul 04 10:31 UTC (GMT) 0 < 1/2 < 2/2 = 1 < 5/2 Jul 04 10:31 UTC (GMT) - 8/15 < - 1/6 Jul 04 10:31 UTC (GMT) 18/28 < 26/36 Jul 04 10:31 UTC (GMT) - 57/11 < - 70/14 < - 47/13 < - 33/10 Jul 04 10:31 UTC (GMT) 20/21 < 30/29 Jul 04 10:31 UTC (GMT) 1/5 < 183/100 Jul 04 10:31 UTC (GMT) 33/50 < 2/3 Jul 04 10:31 UTC (GMT) 97/267 < 41/92 < 28/46 < 33/43 < 487/553 < 42/32 < 52/27 < 61/24 < 199/30 < 258/37 < 907/82 < 592/34 < 554/21 Jul 04 10:31 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).