# Compare and sort in ascending order the two ordinary fractions, which one is larger: 4/10 vs. 13/100. Ordinary fractions compared and sorted in ascending order, result explained below

## The latest fractions compared and sorted in ascending order

 13/100 < 4/10 Jun 05 11:39 UTC (GMT) 28/16 < 37/15 < 67/18 < 199/18 < 347/13 Jun 05 11:39 UTC (GMT) 4/6 < 19/25 Jun 05 11:39 UTC (GMT) 1/2 < 29/32 Jun 05 11:39 UTC (GMT) 5/31 < 1/6 Jun 05 11:39 UTC (GMT) - 17/97 < - 10/93 Jun 05 11:38 UTC (GMT) 66/19 < 58/10 Jun 05 11:38 UTC (GMT) - 37/64 < - 27/58 Jun 05 11:38 UTC (GMT) 2/7 < 3/5 Jun 05 11:38 UTC (GMT) 1/7 < 2/5 < 5/9 Jun 05 11:38 UTC (GMT) 39/58 < 45/63 < 36/48 < 32/37 < 31/24 Jun 05 11:38 UTC (GMT) 2/9 < 5/6 Jun 05 11:38 UTC (GMT) 1/50 < 1/49 Jun 05 11:38 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).