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# Adding and subtracting fractions r eview

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• 1. ADDING AND SUBTRACTING FRACTIONS
• Parts of a Fraction
• Changing Improper Fractions into Mixed Numbers and Vice-Versa
• How to Add Mixed Numbers
• How to Subtract Fractions
• How to Subtract Mixed Numbers
• How to Borrow When Subtracting Fractions
• 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. 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. Quiz: Changing Mixed Numbers and Improper Fractions
• Change the following into Improper Fractions. REVIEW
• 3 ½
• 5 5/8
• 12 1/3
• 15 ¾
• Change the following into Mixed Numbers. REVIEW
• 40/13
• 100/9
• 4/3
• 4. 9/2
• 5. ANSWERS: Changing Mixed Numbers and Improper Fractions
• Change the following into Improper Fractions.
• 1. 3 ½ = 7/2
• 5 5/8 = 45/8
• 12 1/3 = 37/3
• 15 ¾ = 63/4
• Change the following into Mixed Numbers.
• 40/13 = 3 1/13
• 100/9 = 11 1/9
• 4/3 = 1 1/3
• 4. 9/2 = 4 ½
• 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
• ½
• 5 1/3
+ 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. 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
• 3 1/5 2. 2 ½
• + 4 ¼ + 1 ¾
• 5 1/6 4. 1/3
• + 2 2/3 1/4
• + 1/2
Review CHECK 6 th Grade HomePage
• 3 1/5 2. 2 ½
• + 4 ¼ + 1 ¾
• 7 9/20 3 5/4 = 4 1/4
• 5 1/6 4. 1/3
• + 2 2/3 1/4
• 7 5/6 + 1/2
• 13/12 = 1 1/12
• 11. SUBTRACTING MIXED NUMBERS
• ½
• ¼
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
• 2/4
• ¼
• ¼
• 12. SUBTRACTING FRACTIONS WHILE BORROWING
• ½
• ¾
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!
• 6/4
• 2 3/4
2 3/4 ANSWER! 4 2/4 2 3/4 + 4/4 6 th Grade HomePage
• 2/4
• 2 3/4
• 13. Quiz: SUBTRACTING FRACTIONS CHECK Review Subtracting While Borrowing Review Subtracting
• ½ 2. 3 ¾
• - ¼ - 1 ½
• 4 1/5 4. 5
• - 1 1/2 - 3 ¾