Wednesday, March 11, 2009

Converting fractions to decimals.

Today pupils learnt about the conversion of fractions to decimals.
Why do we need to learn this mathematical concept?

This is one of the tasks that pupils did. Some commented that they did not know what to write and I hope that they are able to realise it soon.
(Answer will NOT be revealed here)

Basically, there are two methods of converting fractions to decimals.

One - The simple way.
Change the denominator to 10, 100 or 1000.
From there on, the numerator gets changed as well.
After which, decimals can be found quite easily as it is a matter of "shifting" the decimal point.

(Note that the value '8' can be converted to 1000, simply by just multiplying it by 125)

But what happens if the denominator can't be converted to 10, 100 or 1000?
Then you will have to use the second method, which is...

TWO - The troublesome but effective way.
Do it the long division way.
For example, find the decimal of the fraction,three-quarters, (3/4). You take 3 divided by 2 and work out the solution. Bear in mind that the worked solution can be very long. One hint is to read the instruction. If the instruction states that you should round off to 2 decimal places, working the solution to just 3 decimal places will be good enough.

Confused?
The only way not to be is to practice, practice and more practice.

Hope class 5-5 will be able to handle all sorts of fractions as this is going to be a loooooooooong topic.

Mr Xie.

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