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ADDING AND SUBTRACTING FRACTIONS

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Presentation on theme: "ADDING AND SUBTRACTING FRACTIONS"— Presentation transcript:

1 ADDING AND SUBTRACTING FRACTIONS
Parts of a Fraction Changing Improper Fractions into Mixed Numbers and Vice-Versa How to Add Fractions How to Add Mixed Numbers How to Subtract Fractions How to Subtract Mixed Numbers How to Borrow When Subtracting Fractions

2 3 4 PARTS OF A FRACTION The top number of a fraction is the numerator.
The bottom number of a fraction is the denominator. 3 4

3 AND IMPROPER FRACTIONS
QUIZ MIXED NUMBERS AND IMPROPER FRACTIONS To change a mixed number into an improper fraction get MAD…Multiply – Add – Put over Denominator 4 ½ 4 x 2 = 8 = 9 9 2 To change an improper fraction into a mixed number divide the numerator by the denominator; whatever is left over is the new numerator…keep the same denominator. For Example: 11 4 11 divided 4 equals 2; there is 3 left over. 34 2

4 Quiz: Changing Mixed Numbers and Improper Fractions
Change the following into Improper Fractions. REVIEW 3 ½ 5 5/8 /3 15 ¾ Change the following into Mixed Numbers REVIEW 40/13 100/9 4/3 4. 9/2 CHECK

5 ANSWERS: Changing Mixed Numbers and Improper Fractions
Change the following into Improper Fractions. ½ = /2 5 5/ = /8 / = /3 15 ¾ = /4 Change the following into Mixed Numbers. 40/ = /13 100/ = /9 4/ = /3 4. 9/ = ½

6 Once you have a common denominator, then add!
ADDING FRACTIONS When adding fractions you MUST have a common denominator! Find the smallest number that both 4and 5 will go into. This number is 20. Then multiply both the numerator and denominator to get to 20. 3 4 1 5_ + x 5 = 15 20 = 19 20 Once you have a common denominator, then add!

7 You MUST have a common denominator to add fractions!
QUIZ ADDING MIXED NUMBERS 3 5 1/3 X 6 5 3/6 2/6 2 + /6 You MUST have a common denominator to add fractions! Find the least common multiple of 3 and 2. This number is 6. Once you have the common denominator, add the fractions, then add the whole numbers! 6th Grade HomePage

8 SUBTRACTING FRACTIONS
QUIZ SUBTRACTING FRACTIONS 5 6 2 3 X 1 2 5 6 4 Find the least common multiple for 3 and 6. (In this case, 6) Then multiply! 1 6 This is your answer! To subtract fractions you must have a common denominator!

9 Answers: Adding Fractions
3 1/ ½ ¼ ¾ 5 1/ /3 / /4 + 1/2 CHECK Review

10 QUIZ: Adding Fractions
3 1/ ½ ¼ ¾ 7 9/ /4 = 4 1/4 5 1/ /3 / /4 7 5/ /2 13/12 = /12 Review

11 To subtract fractions you must have a common denominator!
QUIZ SUBTRACTING MIXED NUMBERS 2 1 2/4 X To subtract fractions you must have a common denominator! Find the least common multiple of 4 and 2. This number is 4. ANSWER!

12 SUBTRACTING FRACTIONS WHILE BORROWING
+ 4/4 2/4 2 3/4 2 1 4 2/4 2 3/4 6/4 2 3/4 X First…Find a common denominator. 2 3/4 You cannot subtract 3 from 2, so you MUST borrow! ANSWER! Find the least common multiple of 4 and 2. This number is 4.

13 Quiz: SUBTRACTING FRACTIONS
½ ¾ - ¼ ½ 4 1/ / ¾ CHECK Review Subtracting Review Subtracting While Borrowing

14 ANSWERS: SUBTRACTING FRACTIONS
½ ¾ - ¼ ½ ¼ ¼ 4 1/ / ¾ 2 7/ ¼ Review Subtracting Review Subtracting While Borrowing


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