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

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

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 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. 34 2

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 CHECK

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

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 4 = 19 20 Once you have a common denominator, then add!

You MUST have a common denominator to add fractions! QUIZ ADDING MIXED NUMBERS 3 ½ 5 1/3 X 6 5 3/6 2/6 2 + 11 5/6 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

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!

Answers: Adding Fractions 3 1/5 2. 2 ½ + 4 ¼ + 1 ¾ 5 1/6 4. 1/3 + 2 2/3 1/4 + 1/2 CHECK Review

QUIZ: Adding Fractions 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 Review

To subtract fractions you must have a common denominator! QUIZ SUBTRACTING MIXED NUMBERS ½ ¼ 2 1 2/4 ¼ X ¼ To subtract fractions you must have a common denominator! Find the least common multiple of 4 and 2. This number is 4. ANSWER!

SUBTRACTING FRACTIONS WHILE BORROWING + 4/4 2/4 2 3/4 2 1 4 2/4 2 3/4 6/4 2 3/4 ½ ¾ 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.

Quiz: SUBTRACTING FRACTIONS ½ 2. 3 ¾ - ¼ - 1 ½ 4 1/5 4. 5 - 1 1/2 - 3 ¾ CHECK Review Subtracting Review Subtracting While Borrowing

ANSWERS: SUBTRACTING FRACTIONS ½ 2. 3 ¾ - ¼ - 1 ½ ¼ 2 ¼ 4 1/5 4. 5 - 1 1/2 - 3 ¾ 2 7/10 1 ¼ Review Subtracting Review Subtracting While Borrowing