ArtsAutosBooksBusinessEducationEntertainmentFamilyFashionFoodGamesGenderHealthHolidaysHomeHubPagesPersonal FinancePetsPoliticsReligionSportsTechnologyTravel

Ordering Fractions. How to size order a set of fractions from smallest to biggest.

Updated on September 7, 2011


To order a set of fractions, from smallest to biggest, first you will need to make equivalent fractions that have the same denominator. To do this, find the least common multiple of all of the denominators. Once you have found the LCM then this will be denominator of each equivalent fraction.

Example 1

Sort these fractions into size order, starting with the smallest first:

5/6, 2/3, 7/10

Begin by writing down the first 10 multiplies of each denominator (6,3 and 10)

6,12,18,24,30,36,42,48,54,60

3,6,9,12,15,18,21,24,27,30

10,20,30,40,50,60,70,80,90,100

Now the smallest multiple which is common to all 3 lists is 30. So the least common multiple is 3.

Since we have now found the LCM, then you can now make some equivalent fractions with 30 on the denominator:

5/6 = 25/30 (multiply by 5)

2/3 = 20/30 (multiply by 10)

7/10 = 21/30 (multiply by 3)

The fractions are now easy to sort out in size order as you just need to look at the numerators of the equivalent fractions:

20/30, 21/30 and 25/30

All you need to do now is write down the original fractions in size order:

2/3, 7/10 and 5/6

Example 2

Sort these fractions into size order, starting with the smallest first:

2/5, 3/10, 7/25, 9/20

First find the least common multiple of all of the denominators. This number is 100, as 100 is in the 5, 10, 25 and 20 times tables.

Since we have now found the LCM, then you can now make some equivalent fractions with 100 on the denominator:

2/5 = 40/100 (multiply by 20)

3/10 = 30/100 (multiply by 10)

7/25 = 28/100 (multiply by 4)

9/20 = 45/100 (multiply by 5)

The fractions are now easy to sort out in size order as you just need to look at the numerators of the equivalent fractions:

28/100, 30/100, 40/100 and 45/100

All you need to do now is write down the original fractions:

7/25,3/10,2/5 and 9/20

So that is all you need to do when writing fractions in size order – just convert all of the fractions so that they have the same denominators. An alternative method to this is to convert the fractions into decimals or percentages, but you will probably need to rely on your calculator a little more to do this.

Comments

Submit a Comment

  • profile image

    geraldo 6 years ago

    i still don't know its been to years

  • profile image

    Emma 6 years ago

    Too Complicated, Don't get this :/

working

This website uses cookies

As a user in the EEA, your approval is needed on a few things. To provide a better website experience, hubpages.com uses cookies (and other similar technologies) and may collect, process, and share personal data. Please choose which areas of our service you consent to our doing so.

For more information on managing or withdrawing consents and how we handle data, visit our Privacy Policy at: "https://hubpages.com/privacy-policy#gdpr"

Show Details
Necessary
HubPages Device IDThis is used to identify particular browsers or devices when the access the service, and is used for security reasons.
LoginThis is necessary to sign in to the HubPages Service.
Google RecaptchaThis is used to prevent bots and spam. (Privacy Policy)
AkismetThis is used to detect comment spam. (Privacy Policy)
HubPages Google AnalyticsThis is used to provide data on traffic to our website, all personally identifyable data is anonymized. (Privacy Policy)
HubPages Traffic PixelThis is used to collect data on traffic to articles and other pages on our site. Unless you are signed in to a HubPages account, all personally identifiable information is anonymized.
Amazon Web ServicesThis is a cloud services platform that we used to host our service. (Privacy Policy)
CloudflareThis is a cloud CDN service that we use to efficiently deliver files required for our service to operate such as javascript, cascading style sheets, images, and videos. (Privacy Policy)
Google Hosted LibrariesJavascript software libraries such as jQuery are loaded at endpoints on the googleapis.com or gstatic.com domains, for performance and efficiency reasons. (Privacy Policy)
Features
Google Custom SearchThis is feature allows you to search the site. (Privacy Policy)
Google MapsSome articles have Google Maps embedded in them. (Privacy Policy)
Google ChartsThis is used to display charts and graphs on articles and the author center. (Privacy Policy)
Google AdSense Host APIThis service allows you to sign up for or associate a Google AdSense account with HubPages, so that you can earn money from ads on your articles. No data is shared unless you engage with this feature. (Privacy Policy)
Google YouTubeSome articles have YouTube videos embedded in them. (Privacy Policy)
VimeoSome articles have Vimeo videos embedded in them. (Privacy Policy)
PaypalThis is used for a registered author who enrolls in the HubPages Earnings program and requests to be paid via PayPal. No data is shared with Paypal unless you engage with this feature. (Privacy Policy)
Facebook LoginYou can use this to streamline signing up for, or signing in to your Hubpages account. No data is shared with Facebook unless you engage with this feature. (Privacy Policy)
MavenThis supports the Maven widget and search functionality. (Privacy Policy)
Marketing
Google AdSenseThis is an ad network. (Privacy Policy)
Google DoubleClickGoogle provides ad serving technology and runs an ad network. (Privacy Policy)
Index ExchangeThis is an ad network. (Privacy Policy)
SovrnThis is an ad network. (Privacy Policy)
Facebook AdsThis is an ad network. (Privacy Policy)
Amazon Unified Ad MarketplaceThis is an ad network. (Privacy Policy)
AppNexusThis is an ad network. (Privacy Policy)
OpenxThis is an ad network. (Privacy Policy)
Rubicon ProjectThis is an ad network. (Privacy Policy)
TripleLiftThis is an ad network. (Privacy Policy)
Say MediaWe partner with Say Media to deliver ad campaigns on our sites. (Privacy Policy)
Remarketing PixelsWe may use remarketing pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to advertise the HubPages Service to people that have visited our sites.
Conversion Tracking PixelsWe may use conversion tracking pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to identify when an advertisement has successfully resulted in the desired action, such as signing up for the HubPages Service or publishing an article on the HubPages Service.
Statistics
Author Google AnalyticsThis is used to provide traffic data and reports to the authors of articles on the HubPages Service. (Privacy Policy)
ComscoreComScore is a media measurement and analytics company providing marketing data and analytics to enterprises, media and advertising agencies, and publishers. Non-consent will result in ComScore only processing obfuscated personal data. (Privacy Policy)
Amazon Tracking PixelSome articles display amazon products as part of the Amazon Affiliate program, this pixel provides traffic statistics for those products (Privacy Policy)