Adding and subtracting fractions
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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:

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Adding and subtracting fractions

Adding and Subtracting Fractions

By Graeme Henchel

http://hench-maths.wikispaces.com



Adding fractions with different denominators
Adding Fractions with different denominators

Problem:

You can’t 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
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 denominator1
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 can’t 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




Finally the fractions are READY to add. I just have to add the numerators 9+14=23

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 3x3=9 and 2x7=14

Now I know the new numerators


Adding mixed numbers
Adding Mixed Numbers the numerators 9+14=23

  • Separate the fraction and the whole number sections, add them separately and recombine at the end


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