Transum Shop :: Laptops aid Learning :: School Books :: Tablets :: Educational Toys :: STEM Books
Equivalent FractionsPractise finding and simplifying equivalent fractions numerically and in fraction diagrams. 
This is level 4; Express the fractions in their simplest forms. You can earn a trophy if you get at least 9 correct and you do this activity online.
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 



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 19 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." Comment recorded on the s /Coordinate 'Starter of the Day' page by Greg, Wales: "Excellent resource, I use it all of the time! The only problem is that there is too much good stuff here!!" 
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. 

AnswersThere are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer. A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves. Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members. If you would like to enjoy adfree access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now: Subscribe 

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 page is an alphabetical list of free activities designed for students in Secondary/High school. Maths MapAre you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.  
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. 
© Transum Mathematics 19972022
Scan the QR code below to visit the online version of this activity.
https://Transum.org/go/?Num=581
Close
Level 1  Colour in the fraction walls
Level 2  Colour in the pizzas
Level 3  Fill in the missing numerators
Level 4  Express the fractions in their simplest forms
Level 5  Find the denominator of the equivalent fraction
More Fractions including lesson Starters, visual aids, investigations and selfmarking exercises.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
See the National Curriculum page for links to related online activities and resources.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can doubleclick the 'Check' button to make it float at the bottom of your screen.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
Here is something from Transum Subscriber Ann that is really useful:
"When I think of cancelling fractions, I always think of times tables and perhaps the divisibility rules. This is my preferred method, but sometimes I struggle, particularly with the last question. Could we use a different method for these trickier fractions?
Look at the question 152/171
What's 171152 ? 19 (a prime number)
Both numbers must be divisible by 19.
152÷19 = 8
171÷19 = 9
The fraction must be 8/9
Why does this work?
152 and 171 have a common factor. This tells us that they're in the same times table. Let's use a number line to demonstrate this times table as a sequence. We know that 152 and 171 are numbers in our times table sequence. We don't know if they are consecutive terms or not. The difference between them is 19 (a prime number), this tells us that our numbers are consecutive terms.
Let's try that again. Let's take the question 35/42
4235 = 7 (a prime number)
Both numbers must be divisible by 7.
35÷7 = 5
42÷7= 6
The fraction must be 5/6
Does this always work?
Let's look at the fourth question 10/25
What's 2510 ? It's 15 (NOT a prime number, that's important to notice)
Are 25 and 10 divisible by 15? No
What are the factors of 15? These are 1, 3, 5 and 15
It turns out that both numbers have a common factor of 5
Let's think about using a number line to demonstrate the sequence. We know that 10 and 25 are numbers in our times table sequence. We don't know if they are consecutive terms or not. The difference between them is 15.
Is that one jump of 15 between the numbers? so the 15 times table?
Or three jumps of 5 between them? so the 5 times table?
Or five jumps of three between them? so the 3 times table?
Can we make a general observation?
Yes.
Find the difference d between the two numbers.
If d is prime then that's your common factor.
If the difference d isn't prime, then your common factor will be one of the factors of d (possibly d itself, such as 16/20)
Disclaimer
This method is a method of "last resort" when the common factor doesn't jump out at you, like 22/99. It also assumes that there was a common factor.
Suppose we don't know if there is a common factor. For example the fraction 4/9
We find that d=5 (a prime number). This means that there is only one possible common factor, namely 5. We now test to see whether it is.
We consider whether 4 is exactly divisible by 5. It isn't, so we know that our fraction is already in its lowest terms."
Close