Sort the Common Fractions String 1, 24, 1/512, 1/256 in Ascending Order. Online Calculator

The operation of sorting fractions in ascending order:
1, 24, 1/512, 1/256

Analyze the fractions to be compared and ordered, by category:

positive proper fractions: 1/512, 1/256

positive integer numbers: 1, 24

How to compare and sort the fractions in ascending order, by categories:

- any positive proper fraction is smaller than...

- any positive integer number.


How do we compare and sort all the fractions?

It is clear that there is no point in comparing fractions from different categories.

We will compare and sort the fractions in each of the above categories, separately.


Sort the positive proper fractions in ascending order:
1/512 and 1/256

The fractions have the same numerator, compare their denominators.

This is one of the simplest cases when it comes to comparing and sorting fractions.

The larger the denominator the smaller the positive fraction.

The larger the denominator the larger the negative fraction.

The integer numbers are a particular case of those fractions that have a denominator equal to 1.


The fractions sorted in ascending order:
1/512 < 1/256

Sort the positive integer numbers in ascending order:
1 and 24

Sort the integer numbers in ascending order.

This is a simple case of comparing and sorting integer numbers.

The integer numbers are a particular case of those fractions that have a denominator equal to 1.


The integer numbers sorted in ascending order:
1 < 24

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

Sort the positive proper fractions in ascending order:
1/512 < 1/256

Sort the positive integer numbers in ascending order:
1 < 24

All the fractions sorted in ascending order:
1/512 < 1/256 < 1 < 24

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

Other similar operations

Compare and sort the fractions in ascending order:
8/7, 30/10, 8/517, 9/261

» New. All the Calculations Performed by Our Visitors: Common Fractions Compared and Sorted. Data organized on a Monthly Basis

Compare and sort common fractions, online calculator:

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) fractions / theory: