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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 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  ,[object Object],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  ,[object Object],2 divides into 2, 4, 6, 8….. 3 divides into 3, 6, 9…. What is the lowest number 2 and 3  both divide into?
+ The Lowest Common Multiple of 2 and 3 is 6  so turn all fractions into sixths You can’t add fractions with different denominators Special form of 1
Lowest common denominator is 10 so make all fractions tenths
Turn both fractions into twelfths
What is the lowest number BOTH 3 and 7 divide into? Hmmmmm?????? It is 21. So that is  my common denominator  What special form of 1 will change 7 to 21.  Hmmmm? It is 3/3 So I multiply 3/7 by 3/3 What special form of 1 will change 3 to 21.  Hmmmm? It is 7/7 So I multiply 2/3 by 7/7 Now 3x3=9 and 2x7=14 Now I know the new numerators Finally the fractions are READY to add. I just have to add the numerators 9+14=23
Adding Mixed Numbers ,[object Object]

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Adding and subtracting fractions

  • 1. Adding and Subtracting Fractions By Graeme Henchel http://hench-maths.wikispaces.com
  • 2. Adding Fractions with common denominators
  • 3. 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
  • 4.
  • 5.
  • 6. + The Lowest Common Multiple of 2 and 3 is 6 so turn all fractions into sixths You can’t add fractions with different denominators Special form of 1
  • 7. Lowest common denominator is 10 so make all fractions tenths
  • 8. Turn both fractions into twelfths
  • 9. What is the lowest number BOTH 3 and 7 divide into? Hmmmmm?????? It is 21. So that is my common denominator What special form of 1 will change 7 to 21. Hmmmm? It is 3/3 So I multiply 3/7 by 3/3 What special form of 1 will change 3 to 21. Hmmmm? It is 7/7 So I multiply 2/3 by 7/7 Now 3x3=9 and 2x7=14 Now I know the new numerators Finally the fractions are READY to add. I just have to add the numerators 9+14=23
  • 10.