Order Fractions Least To Greatest

Ordering Fractions Computer

Club / Sort Fractions

Use integers, decimals, fractions, mixed, or percents
separated past commas

Ascending Guild from Least to Greatest
Descending Order from Greatest to Least

Reply:

Society from Least to Greatest

-1/8< 0.33< 3/eight< 75%< 1 5/8

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Showing Work

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Using the given inputs:

Rewriting these inputs every bit 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 guild from to the lowest degree to greatest is:

-1/viii < 0.33 < iii/8 < 75% < ane five/8

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Reckoner Employ

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

How to Lodge Fractions, Integers and Mixed Numbers

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

Steps to compare and guild fractions, integers and mixed numbers

1. Convert integers and mixed numbers to improper fractions
2. Discover the least 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 final society

Instance using this reckoner default inputs

Input: 2, iii/4, ix/12, iii 5/8, -12/16 and society from least to greatest

1. Catechumen integers and mixed numbers to improper fractions
   • iii/4, 9/12 and -12/sixteen are proper fractions so nosotros can apply those as they are written
   • 2 in fraction grade is 2/i
   • Catechumen three five/8 to an improper fraction. Multiply the whole number 3 by the denominator 8 to get 24. Add together 24 to the numerator 5 to get 29/eight.
   So 3 5/viii = 29/8.
   • All inputs every bit fractions: 2/1, iii/4, 9/12, 29/viii, -12/16
2. Find the least common denominator: LCD of 1, iv, eight, 12, 16 is 48
3. Rewrite the input fractions as equivalent fractions using the LCD
      • 2, 3/four, nine/12, three five/8, -12/16 get:
      • 96/48, 36/48, 36/48, 174/48, -36/48
4. Order 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
      • -12/16 < 3/4 = 9/12 < 2 < 3 five/8

Related Calculators

To observe which fraction is bigger and which is smaller see the Comparing Fractions Calculator.

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

For addition, subtraction, multiplication and segmentation on mixed numbers and fractions see the Mixed Numbers Reckoner.

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

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Order Fractions Least To Greatest,

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