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Everyday maths 2
Everyday maths 2

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6 Fractions, decimals and percentages

You have already worked with decimals in this course and many times throughout your life. Every time you calculate something to do with money, you are using decimal numbers. You have also learned how to round a number to a given number of decimal places.

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Figure _unit2.6.1 Figure 8 Equivalent decimals, fractions and percentages

Since fractions, decimals and percentages are all just different ways of representing the same thing, we can convert between them in order to compare. Take a look at the video below to see how to convert fractions, decimals and percentages.

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Activity _unit2.6.1 Activity 12: Matching fractions, decimals and percentages

Choose the correct fraction for each percentage and decimal.

Using the following two lists, match each numbered item with the correct letter.

  1. seven divided by 20

  2. italic two divided by italic five

  3. italic six divided by 12

  4. five divided by eight

  • a.      35% = 0.35 =

  • b.      62.5% = 0.625 =

  • c.      50% = 0.5 =

  • d.      40% = 0.4 =

The correct answers are:
  • 1 = a
  • 2 = d
  • 3 = c
  • 4 = b

Fractions and percentages deal with splitting numbers into a given number of equal portions, or parts. When dealing with the next topic, ratio, you will still be splitting quantities into a given number of parts, but when sharing in a ratio, you do not share evenly. This might sound a little complicated but you’ll have been doing it since you were a child.


In this section you have:

  • learned about the relationship between fractions, decimals and percentages and are now able to convert between the three.