Succeed with maths – Part 1
Succeed with maths – Part 1

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5 Fractions – bringing it all together

This is the final activity for this week, it brings everything you’ve learned about fractions together, and gives you a bit more practice.

Activity 7 Reasons for enrolment

Timing: Allow approximately 10 minutes

A group of 240 new students were asked about the main reasons they had decided to enrol on courses at The Open University.

Of the 240 students, 80 wished to improve their career prospects, 60 had enrolled for interest and 72 had signed up for a course in order to help their children.

(a) Write a fraction for each of these groups, remembering to show them in the simplest form.


(a) There are 240 in the whole group, giving the denominator needed for all the fractions before simplification.

Career prospects: 80 of 240 students is 80 divided by 240.

Divide the top and bottom by 10, and then by 8, to give one divided by three.

Interest: 60 of 240 students is 60 divided by 240.

Divide the top and bottom by 10, and then by 6, to give one divided by four.

To help their children: 72 of 240 students is 72 divided by 240.

Divide the top and bottom by 12, and then by 2, to give three divided by 10.

(b) How many students expressed some other reason for enrolling?


(b) The total number of people who chose one of the three reasons is 80 + 60 + 72 = 212.

So, the number of people who expressed some other reason for enrolling is 240 − 212 = 28.

(c) What fraction of the students surveyed expressed some other reason for registering for courses?


(c) Take your solution from part (b) and express it as a fraction. You should now have 28 divided by 240.

This fraction can then be simplified:

So, seven divided by 60 of the group gave some other reason for enrolling on Open University courses. (You could also have used your calculator to work out these fractions.)

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