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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 6th Grade HomePage The top number of a fraction is the numerator. The bottom number of a fraction is the denominator. 6th Grade HomePage 3 4 QUIZ 6th Grade HomePage 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. 11 divided 4 3 For Example: 11 equals 2; there 4 4 is 3 left over. 2 Change the following into Improper Fractions. REVIEW 1. 3 ½ 2. 5 5/8 3. 12 1/3 4. 15 ¾ Change the following into Mixed Numbers. REVIEW 1. 40/13 2. 100/9 3. 4/3 4. 9/2 6th Grade HomePage CHECK Change the following into Improper Fractions. 1. 3 ½ = 7/2 2. 5 5/8 = 45/8 3. 12 1/3 = 37/3 4. 15 ¾ = 63/4 Change the following into Mixed Numbers. 1. 40/13 = 3 1/13 2. 100/9 = 11 1/9 3. 4/3 = 1 1/3 4. 9/2 = 4 ½ 6th Grade HomePage 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 15 5 = 3 multiply both the numerator x 5 = and denominator to get to 20. 20 4 + 1 x 5_ 4 = 4 = 4 20 19 6th Grade HomePage 20 Once you have a common denominator, then add! QUIZ 6 ½ + 5 1/3 X X 3 3 2 2 6 3/6 5 2/6 11 You MUST have a common denominator to add fractions! Find the least common multiple of 3 and 2. This number is 6. 5/6 Once you have the common denominator, add the fractions, then add the whole numbers! 6th Grade HomePage QUIZ 5 X 1 6 X 1 2 X 2 3 X 2 To subtract fractions you must have a common denominator! Find the least common multiple for 3 and 6. (In this case, 6) Then multiply! 5 6 4 6 1 6 This is your answer! 6th Grade HomePage 1. 3 1/5 2. + 4 ¼ 3. 5 1/6 + 2 2/3 4. 2 ½ + 1 ¾ 1/3 1/4 + 1/2 CHECK 6th Grade HomePage 1. 3 1/5 2. + 4 ¼ 7 9/20 3. 5 1/6 2 ½ + 1 ¾ 3 5/4 = 4 1/4 4. 1/3 + 2 2/3 1/4 7 5/6 + 1/2 13/12 = 1 1/12 6th Grade HomePage QUIZ 5 ½ 2 ¼ To subtract fractions you must have a common denominator! X 2 2 1 X 1 Find the least common multiple of 4 and 2. This number is 4. 5 2/4 2 ¼ 3 ¼ ANSWER! 6th Grade HomePage 5 ½ 2 ¾ X 2 5 2/4 4 2/4 4 6/4 2 3/4 2 3/4 2 3/4 2 1 X 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! 2 3/4 ANSWER! 6th Grade HomePage 1. ½ 2. - ¼ - 1 ½ 3. 4 1/5 - 1 3 ¾ 6th Grade HomePage 1/2 4. 5 - 3 ¾ CHECK 6th Grade HomePage 1. ½ 2. - ¼ - 1 ½ ¼ 2 ¼ 3. 4 1/5 - 1 2 3 ¾ 1/2 7/10 4. 5 - 3 ¾ 1 ¼