Fractions In Order Of Size

Ordering Fractions Calculator

Lodge / Sort Fractions

Apply integers, decimals, fractions, mixed, or percents
separated by commas

Ascending Society from To the lowest degree to Greatest
Descending Order from Greatest to Least

Reply:

Society from Least to Greatest

-ane/eight< 0.33< 3/viii< 75%< one 5/viii

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Showing Work

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Using the given inputs:

Rewriting these inputs equally decimals:

Sorting this table by decimal values in guild from least to greatest:

-0.125

<

0.33

<

0.375

<

0.75

<

1.625

Therefore, the sorted inputs in gild from least to greatest is:

-1/8 < 0.33 < iii/8 < 75% < ane v/eight

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Calculator Apply

Compare and order fractions, integers, mixed numbers and decimals in ascending or descending order. Order fractions from least to greatest or from greatest to least.

How to Order Fractions, Integers and Mixed Numbers

To compare and guild fractions we must first convert all integers, mixed numbers (mixed fractions) and fractions into values that nosotros tin compare. We do this past first converting all terms into fractions, finding the least common denominator (LCD), then rewriting each term as an equivalent fraction with the LCD. Then nosotros compare the numerators of each fraction and put them in correct lodge from least to greatest or greatest to least.

Steps to compare and lodge fractions, integers and mixed numbers

1. Catechumen integers and mixed numbers to improper fractions
2. Find the least common denominator LCD of all the fractions
3. Rewrite fractions as equivalent fractions using the LCD
4. Order the new fractions by the numerator
5. Friction match original inputs to the ordered fractions to see the final order

Example using this calculator default inputs

Input: 2, 3/4, 9/12, 3 v/eight, -12/16 and social club from least to greatest

1. Convert integers and mixed numbers to improper fractions
   • three/4, 9/12 and -12/16 are proper fractions so we can use those as they are written
   • two in fraction class is two/1
   • Convert 3 v/8 to an improper fraction. Multiply the whole number three by the denominator 8 to get 24. Add 24 to the numerator v to get 29/viii.
   And then 3 v/8 = 29/8.
   • All inputs as fractions: 2/ane, 3/4, nine/12, 29/viii, -12/16
2. Find the to the lowest degree common denominator: LCD of one, four, viii, 12, 16 is 48
3. Rewrite the input fractions every bit equivalent fractions using the LCD
      • 2, three/4, 9/12, 3 5/8, -12/16 become:
      • 96/48, 36/48, 36/48, 174/48, -36/48
4. Gild these fractions from least to greatest numerator
      • -36/48 < 36/48 = 36/48 < 96/48 < 174/48
5. Identify the original fractions in the same social club as their equivalents
      • -12/16 < iii/4 = ix/12 < 2 < iii 5/eight

Related Calculators

To find which fraction is bigger and which is smaller see the Comparison Fractions Computer.

To add together, subtract, multiply and divide fractions see the Fractions Figurer.

For addition, subtraction, multiplication and division on mixed numbers and fractions run across the Mixed Numbers Calculator.

To simplify a fraction to lowest terms come across the Simplifying Fractions Calculator.

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Fractions In Order Of Size,

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