Compare ordinary fractions, online calculator: sort them in ascending order by using equivalent fractions. Which one is larger or smaller?

Compare and sort ordinary fractions, online calculator

The latest fractions compared and sorted in ascending order

1/4, 7/9, 7/12, 9/16? Jun 29 22:22 UTC (GMT)
- 26/59, - 31/58, - 30/60, - 33/45, - 34/59? Jun 29 22:22 UTC (GMT)
- 87/15 and - 93/18? Jun 29 22:22 UTC (GMT)
21/46 and 26/56? Jun 29 22:22 UTC (GMT)
87/167 and 92/175? Jun 29 22:22 UTC (GMT)
27/81 and 30/84? Jun 29 22:22 UTC (GMT)
3/11 and 7/12? Jun 29 22:21 UTC (GMT)
125/123 and 133/126? Jun 29 22:21 UTC (GMT)
- 708/139 and - 711/141? Jun 29 22:21 UTC (GMT)
- 197/308 and - 205/316? Jun 29 22:21 UTC (GMT)
1/4 and 1/100? Jun 29 22:21 UTC (GMT)
19/10 and 15/8? Jun 29 22:20 UTC (GMT)
- 26/52, - 30/54, - 29/43? Jun 29 22:20 UTC (GMT)
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Tutoring: Comparing ordinary 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).

More on ordinary (common) math fractions theory:

(1) What is a fraction? Fractions types. How do they compare?


(2) Fractions changing form, expand and reduce (simplify) fractions


(3) Reducing fractions. The greatest common factor, GCF


(4) How to, comparing two fractions with unlike (different) numerators and denominators


(5) Sorting fractions in ascending order


(6) Adding ordinary (common, simple) fractions


(7) Subtracting ordinary (common, simple) fractions


(8) Multiplying ordinary (common, simple) fractions


(9) Fractions, theory: rational numbers