# Sort common ordinary fractions in ascending order, online calculator: sort them from the least to the largest, by constructing equivalent fractions (simplifying and expanding) that all have the same denominator or the same numerator. Detailed explanations

## The latest common ordinary fractions compared and sorted in ascending order

 Compare and sort the fractions: 164/419 and 167/429 Jan 31 19:17 UTC (GMT) Compare and sort the fractions: - 28/48, - 33/56, - 21/43 Jan 31 19:17 UTC (GMT) Compare and sort the fractions: 3/16 and 13/64 Jan 31 19:17 UTC (GMT) Compare and sort the fractions: 13/9, 5/9, 37/81, 17/18, 12/9, 6/9, 4/18 Jan 31 19:17 UTC (GMT) Compare and sort the fractions: 152/30 and 159/40 Jan 31 19:16 UTC (GMT) Compare and sort the fractions: 5/12 and 7/15 Jan 31 19:16 UTC (GMT) Compare and sort the fractions: - 83/131 and - 88/136 Jan 31 19:16 UTC (GMT) Compare and sort the fractions: 1/9, 1/15, 1/13, 1/7, 1/12 Jan 31 19:16 UTC (GMT) Compare and sort the fractions: - 44/84, - 44/80, - 42/54 Jan 31 19:16 UTC (GMT) Compare and sort the fractions: 19/21 and 3/7 Jan 31 19:16 UTC (GMT) Compare and sort the fractions: 13/20 and 3/10 Jan 31 19:16 UTC (GMT) Compare and sort the fractions: 37/41, 28/43, 33/46, 22/47 Jan 31 19:15 UTC (GMT) Compare and sort the fractions: 37/50 and 42/60 Jan 31 19:15 UTC (GMT) See all the common ordinary fractions compared by the users... See all the common ordinary fractions sorted in ascending order...

## Sorting multiple ordinary fractions in ascending order

### How to sort multiple fractions?

• To sort fractions easier, first, we must place them into categories: positive and negative fractions, improper and proper fractions.
• As a general rule:
• any positive improper fraction is larger...
• ... than any positive proper fraction, which is larger...
• ... than zero, which is larger...
• ... than any negative proper fraction, which is larger...
• ... than any negative improper fraction.
• If the fractions to be compared and sorted are all from different categories, then our work is very easy, just follow the rule above.
• If we have more than one fraction in each category, first, we must compare the fractions in each category, then sort them by following the rule above.
• Below we will sort in ascending order three positive proper fractions.

### An example of sorting three positive proper fractions that have unlike denominators and numerators, with explanations:

• 1/2 vs. 16/24 vs. 45/75
• #### Reduce (simplify) each fraction to the lowest terms:

• Factor the numerator and the denominator of each fraction, break them down to prime factors.
• Factor numbers, break them down to prime factors, online.
• Divide the numerator and denominator of each fraction by the GCF, the greatest common factor. GCF is the product of all the common prime factors of the numerator and the denominator, multiplied by the smallest exponents - this is the greatest common factor, GCF;
• Calculate the greatest common factor (GCF), online.
• Reduce fraction 1/2 - the numerator and the denominator are coprime numbers, they don't have any common prime factors and as a result the fraction cannot be reduced (simplified), it's irreducible.
• Reduce fraction 16/24 = 24 / (23 × 3) = (24 ÷ 23) / ((23 × 3) ÷ 23) = 2/3
• Reduce fraction 45/75 = (32 × 5) / (3 × 52) = ((32 × 5) ÷ (3 × 5)) / ((3 × 52) ÷ (3 × 5)) = 3/5
• At this point, the three fractions are reduced to the lowest terms (simplified):
• 1/2, 16/24 = 2/3, 45/75 = 3/5
• Reduce (simplify) ordinary fractions, online.