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# Fractions, Decimals and Percentages

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by

## Annie Hall

on 14 January 2014

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#### Transcript of Fractions, Decimals and Percentages

Some common conversions you need to know without having to work them out:
Cancelling Down
Divide the top and the bottom by the same number
You also need
to know how to
convert between all 3
Fraction

Decimal

Percentage
Fractions, Decimals and Percentages
Fractions, Decimals and Percentages
These are simply 3 ways of expressing a
proportion
of something.
They are
completely interchangeable
.
If someone tells you that they want
half
of your cake it's the same as saying they want
0.5
of it or
50%
.
Calculating with Fractions
There are a few simple rules for carrying out calculations with fractions.
A couple of things to note:
A number with a dot above it means the number repeats forever.
These are known as
recurring
decimals.
...and
Divide
Times by 100
Divide by 100
Er...this is a little more tricky
Converting
Decimals to Fractions
For decimals with 1 decimal place
0.6
0.3
0.8
0.X
take the digit in the first decimal place and put it over 10
In the same way we can
convert decimals with 2 or 3 decimal places
0.12
0.48
0.05
0.007
0.908
0.064
0.XY
0.XYZ
by putting them over 100 or 1000
What about those pesky recurring decimals?
1st
Find the
length
of the repeating sequence and
multiply
to move it past the decimal point
e.g 0.
216
216216... x 1000 =
216
.216216...
2nd
Subtract
the original number, r, from the new one
e.g
1000r
- r =
216.216216...
- 0.216216... = 216

so we have
999r = 216
3rd
All you need to do is
divide
to leave r...
e.g r
...and cancel if you can
e.g r
You could just learn the result:
Effectively, the fraction will always have the
repeating unit
on top and the
same number of 9s
on the bottom.
Don't forget to cancel down if you can.
Keep going until you can't find a number that will divide BOTH top and bottom.
Ordering Fractions
Start by putting each fraction over the same denominator.
So in order we have:
or, in other words:
Always change mixed numbers into improper fractions BEFORE you carry out any calculations.
=
Multiplying Fractions
Simply multiply the top and bottom of the fractions separately
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