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Copyright©amberpasillas2010. Parts of a Fraction 3 4 = the number of parts = the total number of parts that equal a whole copyright©amberpasillas2010.

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Presentation on theme: "Copyright©amberpasillas2010. Parts of a Fraction 3 4 = the number of parts = the total number of parts that equal a whole copyright©amberpasillas2010."— Presentation transcript:

1 copyright©amberpasillas2010

2 Parts of a Fraction 3 4 = the number of parts = the total number of parts that equal a whole copyright©amberpasillas2010

3 Parts of a Fraction 3 4 = numerator = denominator copyright©amberpasillas2010

4 A Common Multiple is a number that is a multiple of two or more numbers. Some multiples of 3 & 6 6, 12, 18, 24, 30, 36, 42 copyright©amberpasillas2010

5 The LCM is the smallest multiple that two numbers have in common. 6 = 6, 12, 18, 24, 30, 36 5 = 5, 10, 15, 20, 25, 30 copyright©amberpasillas2010

6 List the multiples of each denominator to find the LCM. 1 = 5, 10, 15, 20, 25, 30 1 = 10, 20, 30, 40, 50 + 5 10 To Add or Subtract Fractions With Unlike Denominators copyright©amberpasillas2010

7 1 = 5, 10, 15, 20, 25, 30 1 = 10, 20, 30, 40, 50 + 5 10 To Add or Subtract Fractions With Unlike Denominators Compare your lists. Which multiples do 5 and 10 have in common? copyright©amberpasillas2010

8 1 = 5, 10, 15, 20, 25, 30 1 = 10, 20, 30, 40, 50 + 5 10 To Add or Subtract Fractions With Unlike Denominators Use the lowest common multiple as the denominator. copyright©amberpasillas2010

9 1 = 5, 10, 15, 20, 25, 30 1 = 10, 20, 30, 40, 50 + 5 10 To Add or Subtract Fractions With Unlike Denominators This number is also called the least common denominator. copyright©amberpasillas2010

10 1 1 + 5 10 SHORTCUT : Check to see if the smaller denominator divides evenly into the larger denominator. If it does, use the larger denominator for your LCD or LCM. 5 will divide evenly into 10, so 10 is your denominator. copyright©amberpasillas2010

11 Rewrite the fractions using the least common denominator or least common multiple. 1 5 1 10 + copyright©amberpasillas2010

12 Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator. 1 5 1 10 + You know that 1/10 is equal to 1/10 so Put a 1 over the Denominator of 10. 1 copyright©amberpasillas2010

13 Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator. 1 5 1 10 + 1 To find the top number, ask yourself what do you multiply the 5 by to get 10. copyright©amberpasillas2010

14 Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator. 1 5 1 10 + 1 Since you are looking for the equivalent fraction you know the numerator must also be multiplied by 2. x 2 x 2 = 2 copyright©amberpasillas2010

15 1 5 1 10 + 1 x 2 x 2 = 2 Now just add the numerators. Remember when adding fractions you never add the denominators. 10 3 copyright©amberpasillas2010

16 Identity Property states that any number multiplied by one equals itself This is useful to know so you can find a common denominator for adding and subtracting fractions.

17 1 2 1 8 + Use the short cut to find the Least Common Denominator (LCD). 8 8 copyright©amberpasillas2010

18 1 2 1 8 + Now find the equivalent fractions for 1/2 & 1/8. 8 8 x 1 = x 4 = Ask what do you multiply 2 by to get 8 and what do you multiply 8 by to get 8. copyright©amberpasillas2010

19 1 2 1 8 + Since you are writing equivalent fractions, now multiply the numerator by the same number you did on the denominator. 8 8 x 1 = x 4 = 4 copyright©amberpasillas2010

20 1 2 1 8 + Since you are writing equivalent fractions, now multiply the numerator by the same number you did on the denominator. 8 8 x 1 = x 4 = 4 x 1 = 1 copyright©amberpasillas2010

21 1 2 1 8 + Now add numerators. The denominator stays the same. 8 8 x 1 = x 4 = 4 x 1 = 1 8 5 copyright©amberpasillas2010

22 2 5 1 3 + Find the least least common multiple for 5 and 3. Write it as your denominator 15 copyright©amberpasillas2010

23 2 5 1 3 + Ask yourself what do you multiply the denominator by to get 15. 15 x 5 = x 3 = copyright©amberpasillas2010

24 2 5 1 3 + Multiply the numerator by the same number you did in the denominator 15 x 5 = x 3 = 6 copyright©amberpasillas2010

25 2 5 1 3+ 15 x 5 = x 3 = x 5 = x 3 = 5 6 Multiply the numerator by the same number you did in the denominator. copyright©amberpasillas2010

26 2 5 1 3 + Add your numerators. The denominator stays the same. 15 x 5 = x 3 = x 5 = x 3 = 5 6 11 15 copyright©amberpasillas2010

27 1 6 1 4 + 12 x 3 = x 2 = x 3 = x 2 = 3 2 5 12 copyright©amberpasillas2010

28 4 5 2 3+ 15 x 5 = x 3 = x 5 = x 3 = 10 12 22 15 ALWAYS SIMPLIFY YOUR ANSWER IF YOUR ANSWER IS AN IMPROPER FRACTION! copyright©amberpasillas2010

29 22 15 15 ) 22 1 15 7 7 ALWAYS SIMPLIFY YOUR ANSWER IF YOUR ANSWER IS AN IMPROPER FRACTION! copyright©amberpasillas2010

30 5 6 1 8 - 24 x 3 = x 4 = x 3 = x 4 = 3 20 17 24 copyright©amberpasillas2010

31 2 3 1 9 - 9 9 x 1 = x 3 = x 1 = x 3 = 1 6 5 9 copyright©amberpasillas2010

32 2 4 2 8 + 8 8 x 1 = x 2 = x 1 = x 2 = 2 4 6 8 3 4 = copyright©amberpasillas2010

33 4 5 2 3 - 15 x 5 = x 3 = x 5 = x 3 = 10 12 2 15 copyright©amberpasillas2010

34 REMEMBER: To Always Show Your Work and The Giant One! Take out your study guide!!!

35 copyright©amberpasillas2010 Add Fractions 4 5 2 3 + 15 15 x 5 = x 3 = x 5 = x 3 = 10 12 22 15 1)Find a common denominator. 2) Add the numerators. 3) Keep the common denominator the same. #11 4) Simplify or reduce. Change improper fractions to mixed #s. 15 ) 22 1 15 7 7

36 copyright©amberpasillas2010 Subtract Fractions 5 6 1 8 - 24 x 3 = x 4 = x 3 = x 4 = 3 20 17 24 Always SHOW YOUR WORK! This includes the Giant One. #12 Giant One


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