Compare and sort in ascending order the two common ordinary fractions, which one is larger: 33 and 39/5. Common ordinary fractions compared and sorted in ascending order, result explained below

Compare: 33 and 39/5

To compare and sort multiple fractions, they should either have the same denominator or the same numerator.

The operation of comparing fractions:
33 and 39/5

Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:

39/5 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
39 = 3 × 13
5 is a prime number.




To compare and sort the fractions, build them up to the same denominator.

Expand the fraction that has 1 as a denominator.


Multiply the numerator and denominator by the same number:


33 = (5 × 33)/(5 × 1) = 165/5


The fractions have the same denominator, compare their numerators.

The larger the numerator the larger the positive fraction.


The larger the numerator the smaller the negative fraction.


::: The operation of comparing fractions :::
The final answer:

The fractions sorted in ascending order:
39/5 < 165/5

The initial fractions sorted in ascending order:
39/5 < 33

How are the numbers being written on our website: comma ',' is used as a thousands separator; point '.' used as a decimal separator; numbers rounded off to max. 12 decimals (if the case). The set of the used symbols on our website: '/' the fraction bar; ÷ dividing; × multiplying; + plus (adding); - minus (subtracting); = equal; ≈ approximately equal.

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See all the common ordinary fractions sorted in ascending order...

Compare and sort common ordinary fractions, online calculator:

Tutoring: Comparing ordinary fractions

How to compare two fractions?

1. Fractions that have different signs:

2. A proper and an improper fraction:

3. Fractions that have both like numerators and denominators:

4. Fractions that have unlike (different) numerators but like (equal) denominators.

5. Fractions that have unlike (different) denominators but like (equal) numerators.

6. Fractions that have different denominators and numerators (unlike denominators and numerators).

More on ordinary (common) fractions / theory:

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


(2) Changing the form of fractions, by expanding or reducing (simplifying)


(3) How to reduce fractions (simplifying). The greatest common factor, GCF


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


(5) How to sort out fractions in ascending order


(6) Adding common (ordinary) fractions


(7) Subtracting common (ordinary) fractions


(8) Multiplying common (ordinary) fractions


(9) Fractions as rational numbers