Chris Mohan Maths
Lesson
Fractions
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Fractions, Decimals and Percentages are different ways of expressing the same information
Let’s look at that!
If we think of this as a pizza and the
shaded bit is the bit you are being
given we can say that this is a half
[pic] circle is broken up into 2 bits
There is one part shaded (or selected)
If I gave you the whole pizza then I would have given you
[pic] or 1 pizza. So 1 pizza is equal to [pic]
Example 1:
What fraction / decimal or percentage is shown below?
[pic]
Example:
Decimals
In a similar way to convert fractions or percentages to decimals we follow the sum. The line in the middle of a fraction means the same thing as divided by.
So if we have [pic], this means 50 divided by 100.
100[pic] which will work out to give you 0.5.
Try some of the other examples above!
Adding and Subtracting Fractions
Let me tell you a story…..
Dominos has a 2 for Tuesdays deal where you buy 2 pizzas but only pay for one.
My wife brought home 2 pizzas and asked me to cut up one while she cut up the other.
I cut mine in half and my wife (being the good mother) cuts hers up in 3 (one for me, one for her and one for the kids for lunch tomorrow).
How can I work out how much pizza I received?
Example:
[pic]
Fraction of an Amount
When finding the fraction of an amount it appears the second number is not a fraction. Whole numbers can be written as a fraction over 1.
Like: [pic]. Then you multiply the top and bottom and simplify. Ie top two numbers multiplied together give the top part of the fraction, bottom two number give the bottom
[pic]
• 2 x 50 = 100
• 5 x 1 = 5
• [pic]
• How many 5’s in 100? = 20
Example:
Calculate:
[pic]
Examples:
a) [pic]
b) [pic]
c) [pic]
[pic]
Simplifying Fractions
To simplify a fraction, find the Highest common factor between the 2 numbers and divide top and bottom by that number.
This is sometimes called Equivalent Fractions.
Vulgar and improper Fractions
[pic]
This is 5 full pizzas (with 8 slices in each) and a pizza with 7 slices only so to write it as vulgar or sometimes known as top-heavy fraction
5 x 8 = 40
40+7 = 47 slices
Therefore the entire fraction is : [pic]
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