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

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Succeed with maths – Part 1

3.3 Dividing mixed numbers and fractions – more examples

These are the last two activities for you to complete this week before moving on to complete your first badge quiz. It will be useful to take the time to do these, as it will help you to absorb the techniques for when you need to recall them at a later time.

Activity 7 Timing is everything

Timing: Allow approximately 10 minutes

A recipe specifies a cooking time of hours and suggests checking and basting your joint two-thirds of the way through the cooking time.

After how long should you check and baste your dinner?


There are several ways you can do this calculation. For example, you could calculate two-thirds of as follows:

equation sequence two divided by three multiplication equals two super one divided by three multiplication five divided by two super one equals five divided by three equals full stop

So, the time is hours, or 1 hour and 40 minutes (two-thirds of 60 minutes).

Alternatively, you might have converted the hours to minutes. Since there are 60 minutes in an hour and 30 minutes in half an hour, hours is the same as two multiplication 60 plus 30 minutes, or 150 minutes.

two divided by three multiplication 150 minutes is 100 minutes, or 1 hour and 40 minutes. The same as the other answer, fortunately!

The final activity is another practical application of fractions, once again involving time. Once you’ve completed this you should feel like a bit more like a master of division using fractions!

Activity 8 Mowing lawns

Timing: Allow approximately 10 minutes

During the summer, a friend decides to mow lawns. It takes her an average of three-quarters of an hour to cut one person’s garden.

If she decides to work a total of hours per day, how many lawns can she mow in that time?


You must determine how many times three divided by four goes into . The calculation is:

equation sequence three divided by four equals 33 divided by four division three divided by four equals 33 super 11 divided by four sub one multiplication four super one divided by three sub one equals 11

Therefore, she could mow 11 lawns, if she works a full day and all the houses are next to each other!

Well done! You have completed your study of fractions. Hopefully you now feel more confident with this area of maths, which is often seen as quite challenging.

You may not use fractions in everyday life as much as previous generations who worked with imperial measurements and currency in pounds, shillings and pence, but fractions are an important part of maths. If you go on to further maths study, you will find out how understanding fractions will be a big help with algebra when solving and manipulating equations.

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