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# Adding and subtracting fractions r eview

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### Adding and subtracting fractions r eview

1. 1. ADDING AND SUBTRACTING FRACTIONS <ul><li>Parts of a Fraction </li></ul><ul><li>Changing Improper Fractions into Mixed Numbers and Vice-Versa </li></ul><ul><li>How to Add Fractions </li></ul><ul><li>How to Add Mixed Numbers </li></ul><ul><li>How to Subtract Fractions </li></ul><ul><li>How to Subtract Mixed Numbers </li></ul><ul><li>How to Borrow When Subtracting Fractions </li></ul>6 th Grade HomePage
2. 2. PARTS OF A FRACTION The top number of a fraction is the numerator . The bottom number of a fraction is the denominator . 3 4 6 th Grade HomePage
3. 3. 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 8 + 1 = 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. 2 3 4 QUIZ 6 th Grade HomePage
4. 4. Quiz: Changing Mixed Numbers and Improper Fractions <ul><li>Change the following into Improper Fractions. REVIEW </li></ul><ul><li>3 ½ </li></ul><ul><li>5 5/8 </li></ul><ul><li>12 1/3 </li></ul><ul><li>15 ¾ </li></ul><ul><li>Change the following into Mixed Numbers. REVIEW </li></ul><ul><li>40/13 </li></ul><ul><li>100/9 </li></ul><ul><li>4/3 </li></ul><ul><li>4. 9/2 </li></ul>CHECK 6 th Grade HomePage
5. 5. ANSWERS: Changing Mixed Numbers and Improper Fractions <ul><li>Change the following into Improper Fractions. </li></ul><ul><li>1. 3 ½ = 7/2 </li></ul><ul><li>5 5/8 = 45/8 </li></ul><ul><li>12 1/3 = 37/3 </li></ul><ul><li>15 ¾ = 63/4 </li></ul><ul><li>Change the following into Mixed Numbers. </li></ul><ul><li>40/13 = 3 1/13 </li></ul><ul><li>100/9 = 11 1/9 </li></ul><ul><li>4/3 = 1 1/3 </li></ul><ul><li>4. 9/2 = 4 ½ </li></ul>6 th Grade HomePage
6. 6. ADDING FRACTIONS When adding fractions you MUST have a common denominator! 19 20 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. Once you have a common denominator, then add! 6 th Grade HomePage 3 4 1 5_ + x 5 = 5 = 15 20 4 = 4 = x 4 20
7. 7. ADDING MIXED NUMBERS <ul><li>½ </li></ul><ul><li>5 1/3 </li></ul>+ X X 3 3 2 2 6 5 3/6 2/6 Find the least common multiple of 3 and 2. This number is 6. You MUST have a common denominator to add fractions! Once you have the common denominator, add the fractions, then add the whole numbers! 11 5/6 QUIZ 6 th Grade HomePage
8. 8. SUBTRACTING FRACTIONS 5 6 2 3 5 6 4 6 To subtract fractions you must have a common denominator! Find the least common multiple for 3 and 6. (In this case, 6) Then multiply! 1 6 This is your answer! QUIZ 6 th Grade HomePage X X X X 1 1 2 2
9. 9. Answers: Adding Fractions <ul><li>3 1/5 2. 2 ½ </li></ul><ul><li>+ 4 ¼ + 1 ¾ </li></ul><ul><li>5 1/6 4. 1/3 </li></ul><ul><li>+ 2 2/3 1/4 </li></ul><ul><li>+ 1/2 </li></ul>Review CHECK 6 th Grade HomePage
10. 10. QUIZ: Adding Fractions <ul><li>3 1/5 2. 2 ½ </li></ul><ul><li>+ 4 ¼ + 1 ¾ </li></ul><ul><li>7 9/20 3 5/4 = 4 1/4 </li></ul><ul><li>5 1/6 4. 1/3 </li></ul><ul><li>+ 2 2/3 1/4 </li></ul><ul><li>7 5/6 + 1/2 </li></ul><ul><li>13/12 = 1 1/12 </li></ul>Review 6 th Grade HomePage
11. 11. SUBTRACTING MIXED NUMBERS <ul><li>½ </li></ul><ul><li>¼ </li></ul>To subtract fractions you must have a common denominator! Find the least common multiple of 4 and 2. This number is 4. X X 2 2 1 1 <ul><li>2/4 </li></ul><ul><li>¼ </li></ul><ul><li>¼ </li></ul>ANSWER! QUIZ 6 th Grade HomePage
12. 12. SUBTRACTING FRACTIONS WHILE BORROWING <ul><li>½ </li></ul><ul><li>¾ </li></ul>X X 2 2 1 1 First…Find a common denominator. Find the least common multiple of 4 and 2. This number is 4. You cannot subtract 3 from 2, so you MUST borrow! <ul><li>6/4 </li></ul><ul><li>2 3/4 </li></ul>2 3/4 ANSWER! 4 2/4 2 3/4 + 4/4 6 th Grade HomePage <ul><li>2/4 </li></ul><ul><li>2 3/4 </li></ul>
13. 13. Quiz: SUBTRACTING FRACTIONS CHECK Review Subtracting While Borrowing Review Subtracting <ul><li>½ 2. 3 ¾ </li></ul><ul><li>- ¼ - 1 ½ </li></ul><ul><li>4 1/5 4. 5 </li></ul><ul><li>- 1 1/2 - 3 ¾ </li></ul>6 th Grade HomePage
14. 14. ANSWERS: SUBTRACTING FRACTIONS <ul><li>½ 2. 3 ¾ </li></ul><ul><li>- ¼ - 1 ½ </li></ul><ul><li>¼ 2 ¼ </li></ul><ul><li>4 1/5 4. 5 </li></ul><ul><li>- 1 1/2 - 3 ¾ </li></ul><ul><li>2 7/10 1 ¼ </li></ul>Review Subtracting While Borrowing Review Subtracting 6 th Grade HomePage