Everyday maths 2 (Wales)
Everyday maths 2 (Wales)

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Everyday maths 2 (Wales)

7.1 Simplifying fractions

Watch the video below which looks at how to simplify fractions before having a go yourself in Activity 14.

Download this video clip.Video player: bltl_1_4_2_simplifying_fractions.mp4
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In this video, you'll look at how to simplify fractions. You'll be used to seeing the results of company surveys given as fractions: '7/8 people say they were satisfied with our customer service'. This is an example of a fraction in its simplest form. It could be that 184 people were surveyed and that 161 of them responded to say they were satisfied. Although they are equivalent fractions, you can see that the fraction '7/8 people' is a lot more user friendly than saying 161/184 people responded to say they were satisfied.

If you're asked to give an answer as a fraction in its simplest form, you firstly find a number that you can divide both parts of the fraction by, and divide it. For example, to simplify the fraction 12/18, you can divide both the top and the bottom number by 2, to give 6/9.

Keep going until you can't find a number that you can divide both parts of the fraction by. The fraction 6/9 can be divided again, this time by 3, to get 2/3. This is now the fraction in its simplest form.

Now let's simplify the fraction 40/120. Remember, find a number that you can divide both parts of the fraction by, and keep going until there is no longer a number that works. So, divide the top and bottom by 10. Divide the top and bottom by 2. Divide the top and bottom by 2. This is the fraction in its simplest form.

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Activity 14: Simplifying fractions

Show the following fractions in simplest form, where possible:

  • a.25 divided by 75


  • b.12 divided by 36


  • c.72 divided by 96


  • d.32 divided by 48


  • e.five divided by 126


  • f.164 divided by 256


  • a.25 divided by 75 = one divided by three


  • b.12 divided by 36 = one divided by three


  • c.72 divided by 96 = three divided by four


  • d.32 divided by 48 = two divided by three


  • e.five divided by 126 can’t be simplified


  • f.164 divided by 256 = 41 divided by 64

Next you’ll look at expressing a quantity of an amount as a fraction.


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