The objective of this challenge is to enter five fractions each one larger than the one before. The fraction to get you started is .
Enter a fraction less than one but greater than
0Error Message
Enter a fraction less than one but greater than
0Error Message
Enter a fraction less than one but greater than
0Error Message
Enter a fraction less than one but greater than
0Error Message
Enter a fraction less than one but greater than
0Error Message
Enter a fraction less than one but greater than
0Error Message
Enter a fraction less than one but greater than
0Error Message
Enter a fraction less than one but greater than
0Error Message
Enter a fraction less than one but greater than
0Error Message
Enter a fraction less than one but greater than
0Error Message
Enter a fraction less than one but greater than
0Error Message
Enter a fraction less than one but greater than
0Error Message
Well done. You have reached the end of this challenge
Congratulations. You have completed all of the challenges. There is a trophy waiting for you.
This activity comprises of challenges each one requiring you to type in one more fraction than the previous challenge and each starting with a different fraction. The starting fractions are . A Transum Trophy is available for completing all of the challenges.
A vinculum is a mathematical symbol. It is a line that goes either above or below an expression or series of digits to show that they are grouped together. A vinculum servers the same purpose as a pair of brackets in many situations. The line drawn in the middle of a fraction has been called a vinculum by some which is convenient, particularly when considering the order of operations in an algebraic fraction or a fraction where the numerator or denominator is a calculation.
There are many more fraction activities, visual aids and lesson starters on our Fractions topic page and here are some recommended activities from that page.


Transum.orgThis web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available. Please contact me if you have any suggestions or questions. 
More Activities: 

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School: "Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work." Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!" 
Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month. The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing. Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page. 

Numeracy"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables." Secondary National Strategy, Mathematics at key stage 3 

Go MathsLearning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.  
Teachers  
If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows: 
Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes. 
It may be worth remembering that if Transum.org should go offline for whatever reason, there are mirror sites at Transum.com and Transum.info that contain most of the resources that are available here on Transum.org. When planning to use technology in your lesson always have a plan B! 
Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments. 