Fractions+-+Decimals+-+Percentages


 * Converting Fractions, Decimals and Percentages**
 * By Amy Winters Sabrina Whight, Alanya Coop & Charlotte Burnett**



To convert a fraction into a decimal, you divide the numerator by the denominator, the fraction is simply treated as the division it represent, as demonstrated below:
 * Fractions to Decimals**

¼ 1÷4= 0.25

To convert a fraction into a percentage, you divide the numerator by the denominator, and multiply the answer by 100.
 * Fractions to Percentages**

¼ 1÷4= 0.25x100= 25%



A game for matching fractions and percentages is: []

To convert a decimal into a fraction, times it by 100 and put it as the numerator, and then put it over a denominator of 100. You can also work out the equivalent fractions as shown in the example below:
 * Decimals to Fractions**

0.75 0.75x100= 75 75/100= ¾

To convert a decimal into a percentage, multiply it by 100:
 * Decimals to Percentages**

0.5 0.5x100= 50%

To convert a percentage into a decimal, divide it by 100:
 * Percentages to Decimals**

50% 50÷100= 0.5

To convert a percentage into a fraction, put the number over a denominator of 100. You can work out the equivalent fractions as shown below:
 * Percentages to Fractions**

75% 75/100= ¾


 * __Resources__**

Below we have listed some fun little games, links and resources that you could use in your classroom.

Here's quite a fun little tool you could use in your classroom for quickly converting a fraction into a decimal: @http://www.amblesideprimary.com/ambleweb/mentalmaths/fracto.html

Another good website is the one below which has a list of lots of different interactive maths games for fractions, decimals and percentages. @http://www.woodlands-junior.kent.sch.uk/maths/fractions/

A good resource to use would be something like the one below:

you could play lots of games with these to help memorise the more common conversions. A game like SNAP for example, matching the fraction to the corresponding percentage or decimal.

Another similar resource to the one above, but with a little more scope for adapting it to use in different games and activities, are equivalent squares. Here's the link, which gives you a few different ways you can use them: [] Below is a screenshot of what the equivalent squares actually look like, as you can see they can be played like dominoes: Teachers TV clips can be found at @http://www.tes.co.uk/article.aspx?storyCode=6081830&s_cid=RESadsMPU_TeachersTV The video below shows six mathematical puzzles involving fractions, decimals and percentages suitable as lesson starters for Key Stage 2.

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There are also lots of catchy songs to help you remember the rules about converting fractions. An example is:

The Decimals Rap: []

For further explanations and ideas about fractions, decimals and percentages, see the other Wiki page created by our fellow trainee teachers - Fractions, Decimanls & Percentages