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Adding and Subtracting Fractions

- By Graeme Henchel

http//hench-maths.wikispaces.com

Adding Fractions with common denominators

Adding Fractions with different denominators

Problem You cant add fractions with different

denominators without getting them ready first.

They will be ready to add when they have common

denominators

Solution Turn fractions into equivalent

fractions with a common denominator that is find

the Lowest Common Multiple (LCM) of the two

denominators

Finding the Lowest Common Denominator

- The lowest common multiple of two numbers is the

lowest number in BOTH lists of multiples

Multiples of 2 are 2, 4, 6, 8, 10 Multiples of

3 are 3, 6, 9, 12, What is the lowest

common multiple?

Finding the Lowest Common Denominator

- The lowest common multiple of two numbers is the

lowest number they will BOTH divide into

2 divides into 2, 4, 6, 8.. 3 divides into 3, 6,

9. What is the lowest number 2 and 3 both

divide into?

You cant add fractions with different

denominators

The Lowest Common Multiple of 2 and 3 is 6 so

turn all fractions into sixths

Special form of 1

Lowest common denominator is 10 so make all

fractions tenths

Turn both fractions into twelfths

Finally the fractions are READY to add. I just

have to add the numerators 91423

It is 3/3 So I multiply 3/7 by 3/3

It is 7/7 So I multiply 2/3 by 7/7

What is the lowest number BOTH 3 and 7 divide

into? Hmmmmm??????

What special form of 1 will change 7 to 21.

Hmmmm?

What special form of 1 will change 3 to 21.

Hmmmm?

It is 21. So that is my common denominator

Now 3x39 and 2x714 Now I know the new numerators

Adding Mixed Numbers

- Separate the fraction and the whole number

sections, add them separately and recombine at

the end

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