How do you convert 5/9 to a decimal?
2 Answers
Explanation:
you carry out the action of
0.555555555..... going on for ever
You write this as
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Consider the number 5 This is the same as
So if we use this approach whenever we are dividing a 'bigger' number into a 'smaller' number we can avoid using decimals until the very end. All we have to do at the and is multiply the answer by all of the
///////////////////////////////////////////////
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Obviously the remainder of 5 is going to repeat in a continuous cycle.
As this cycles for ever we have:
Write as:
where the
Very important fact about converting fractions to decimal
Explanation:
Have you ever wandered why people say 'just divide the bottom into the top'?
THIS IS WHY!
Consider whole numbers. For example 2,3,7 and any others you so choose.
People do not do this (not often ):
You can and may write whole numbers in the format of type:
Consequently they are members of a set of numbers that have the name of 'Rational Numbers'. That is of form
These may, if you so choose, be considered as ratio but written in fraction format.
So by ratio you have:
And the connection between this and a fraction is:
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Using this principle of ratio; converting a fraction to a decimal is:
Which is why you 'just divide the top by the bottom!!