# Compare and sort in ascending order the set of the ordinary fractions: 1/2, 2/7, 8/14. Ordinary fractions compared and sorted in ascending order, result explained below

## The latest fractions compared and sorted in ascending order

 2/7 < 1/2 < 8/14 Jan 26 14:08 UTC (GMT) 4/10 < 6/10 Jan 26 14:07 UTC (GMT) 3/5 < 77/100 Jan 26 14:07 UTC (GMT) 5/8 < 75/100 Jan 26 14:07 UTC (GMT) 96/81 < 92/69 Jan 26 14:07 UTC (GMT) 1/3 < 8/3 Jan 26 14:06 UTC (GMT) 1/3 < 8/3 Jan 26 14:06 UTC (GMT) 36/9 < 34 Jan 26 14:06 UTC (GMT) 1/2 < 3/5 Jan 26 14:06 UTC (GMT) 5/13 < 7/11 Jan 26 14:05 UTC (GMT) 1/3 = 9/27 Jan 26 14:05 UTC (GMT) 7/5 < 13/9 Jan 26 14:04 UTC (GMT) 2/7 = 14/49 Jan 26 14:04 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).