1. FRACTIONSFRACTIONS Definition: A fraction is a part of a whole.

2. TABLE OF CONTENTS REDUCING 16 MIXED NUMBERS/IMRPOPER FRACTION 12 RECIPROCALS 15 COMMON DENOMINATOR 14 SUBTRACTING AND ADDING 3 AND 4 MULTIPLYING AND DIVIDING 7 AND 9 WORD PROBLEMS 13

3. SECTION 1. ADDING, SUBTRACTING, MULTIPLYING AND DIVIDING FOR FRACTIONS  Adding: For adding fractions together you have to have common denominators so that all you have to do is add the numerators. Problems 1.1/5+3/5=4/58. 3/4+1/4=1 or 4/4 2. 2/6+3/6=5/69. 9/12+ 2/12=11/12 3. 1/4+1/4=1/210.1/4+2/4=3/4 4. 1/2+1/3=5/6 5. 5/6+1/6=1 or 6/6 6. 1/4+ 1/12=1/3 7. 6/10+3/10=9/10

4. SUBTRACTION…? Subtracting: For subtracting fractions you have to first find the lowest common denominator, then you multiply the numerators first and then subtract them when both denominators are the same.

5. SUBTRACTION.....? Subtracting: For subtracting fractions you have to first find the lowest common denominator, then you multiply the numerators first and then subtract them when both denominators are the same. 10/12-4/12= 10-4=6/12 reduced=1/2 Step 1:For subtracting fractions you first have to find the lowest common denominator. Step 2: Second you would have to multiply the numerators. Step 3: the subtract them when both denominators are the same.

6. SUBTRACTION….? Problems: 1. 5/9-1/66. 10/11-5/11 2.3/4-1/47. 7/12-5/12 3. 1/2-1/6 8. 8/10-5/10 4. 2/4-1/49. 11/12-3/12 5.6/11-5/1110. 10/20-5/20

7. MULTIPLICATION….? Multiply: For multiplying fractions together you have to first multiply the numerators of each fraction then multiply the denominators for the answer. 8/10*4/6= 8*4=32 10*=60 32/60=8/15 Step1. First you multiply the numerators together. Step2. second you would multiply the denominators to get the answer.

8. MULTIPLICATION Multiply: For multiplying fractions together you have to first multiply the numerators of each fraction then multiply the denominators for the answer. Problems: 1.3/4*2/3=7.1/2*3/6= 2.1/9*6/7=8.1/4*9/10= 3.1/2*3/7=9.4/10*1/6= 4.3/6*2/4= 5.7/10*3/6= 6.3/4*5/6=

9. DIVISION….?

10. DIVISION…?

11. MIXED NUMBERS/ IMPROPER FRACTIONS To change mixed numbers into improper fractions you have to first multiply the denominator by the whole number. The next thing you have to do is take the answer of the denominator multiplied by the whole number and add the numerator by it. And you get the improper fraction.

12. MIXED NUMBER/IMPROPER FRACTION

13. WORD PROBLEMS To do word problems you have to put the numbers in the problem into the word problem. Examples: Two friends both have cookies and the want to see how many they have. So Madison had 12 cookies and Shelby had 20 cookies. They added them together and got 32 cookies altogether.

14. COMMON DENOMINATORTS…..? For common denominators you have to first find the denominators by multiplying both of the denominators by the same number that makes them the same. Then you get the common denominators of both fractions.

15. RECIPROCALS…? To reciprocate you have to flip the fraction the other way, 1/5……………7\12…………….. 2/6……………9\24……………... 5/9......................... 3\6……………… 9\18………………9\15……………..... 6\12……………….. 8\14……………........

16. REDUCING TO REDUCE FRACTIONS YOU HAVE TO FIRST FIND A NUMBER THAT IS DIVISIBLE BY THE NUMERATOR AND DENOMINATOR. THEN DIVIDE THE NUMEATOR AND DENOMINATOR BY THE NUMBER.

17. ANSWER KEY PAGE 3 PAGE 6 1. 4/51. 7/18 3.½3. 2/6 5.1 OR 6/65. 1/11 7.9/107. 5/12 9. 11/129. 8/12

18. ANSWER KEY PAGE 8PAGE 10 1.½1. 3 3.¼3. 8/3 5.7/205. 5/2 7.¼7. 35/8 9. 1/159. 6/5

19. ANSWER KEY PAGE 12PAGE 15 1.13/41. 5/1 3.68/83. 9/5 5.47/65. 12/9 7.112/207. 24/9 9. 87/99. 15/9