Fractions Summary What are fractions?

What do the different parts mean?

How do I add/subtract two fractions?

How do I multiply/divide? a presentation by Gavin and Chris 1. What are Fractions? A fraction is "A numerical quantity that is not a whole number"

-thefreedictionary.com Examples 3/4 1/2 2/3 7/8 4/5 simplifying fractions Fractions can look different, but have the same value.

Getting a Fraction to it's most simple form, is called "simplifying" Examples: We have the fraction

72/81 After simplifying we have

8/9 Now we have the fraction 4/8 Once simplified, we have 2/4 But we can simplify further to get 1/2 Different parts of fractions There are two parts of a fraction: the numerator and the denominator. The numerator represents how much of a whole number is present within the fraction. The numerator is located on the top of a fraction, and the denominator is located on the bottom Example: 9/10 This is the numerator. The denominator represents the number needed in the numerator to achieve a whole number. Example: 7/15 This is the denominator. When adding fractions, the numerator changers, but the denominator doesn't. Examples: 4/9 + 4/9 = 8/9 5/9 + 4/9 = 9/9 = 1 Adding and subtracting fractions Subtracting fractions is basically the opposite of adding fractions, except that the numerator changes and the denominator stays the same. Examples: 4/9 - 3/9 = 1/9 8/10 - 5/10 = 3/10 Multiplying / dividing fractions When dividing fractions, there's a special property where it is possible to simplify the two fractions diagonally. When multiplying fractions, both the numerator and the denominator can change. Examples: We have the equation

8/9 * 7/8 Multiplied we get

56/72 Now we can simplify it.

We can see, that 4 is a common factor This gives us 14/18. Further Simplified:

7/9 Multiplication Division Now we've got a Division problem: 4/5 ÷ 2/3 With a small Trick we can make it into a Multiplication problem SO,

4/5 ÷ 2/3

turns into

4/5 * 3/2 Now we can treat it like a multiplication problem!

4/5 * 2/3 = 12/10 = 6/5

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