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Ordering Fractions Calculator

Gild / Sort Fractions

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

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

Answer:

Order from Least to Greatest

-1/8< 0.33< three/8< 75%< ane v/eight

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Showing Work

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Using the given inputs:

Rewriting these inputs as decimals:

Sorting this tabular array past decimal values in club from to the lowest degree to greatest:

-0.125

<

0.33

<

0.375

<

0.75

<

ane.625

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

-1/viii < 0.33 < iii/eight < 75% < i v/8

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Calculator Use

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

How to Society Fractions, Integers and Mixed Numbers

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

Steps to compare and gild fractions, integers and mixed numbers

1. Convert integers and mixed numbers to improper fractions
2. Find the to the lowest degree common denominator LCD of all the fractions
3. Rewrite fractions every bit equivalent fractions using the LCD
4. Order the new fractions by the numerator
5. Match original inputs to the ordered fractions to see the terminal society

Example using this calculator default inputs

Input: 2, 3/four, 9/12, 3 5/8, -12/16 and order from least to greatest

1. Convert integers and mixed numbers to improper fractions
   • 3/four, nine/12 and -12/xvi are proper fractions and so we can use those as they are written
   • 2 in fraction course is ii/one
   • Convert three 5/8 to an improper fraction. Multiply the whole number 3 past the denominator 8 to get 24. Add 24 to the numerator 5 to get 29/8.
   And then 3 5/viii = 29/8.
   • All inputs as fractions: 2/ane, three/iv, 9/12, 29/8, -12/xvi
2. Find the to the lowest degree common denominator: LCD of 1, four, eight, 12, xvi is 48
3. Rewrite the input fractions equally equivalent fractions using the LCD
      • 2, 3/4, 9/12, three five/eight, -12/sixteen go:
      • 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. Place the original fractions in the same order as their equivalents
      • -12/xvi < 3/4 = ix/12 < 2 < 3 v/8

Related Calculators

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

To add together, subtract, multiply and divide fractions run across the Fractions Calculator.

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

To simplify a fraction to lowest terms see the Simplifying Fractions Figurer.

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