Adding and Subtracting Fractions Fraction and Decimal Models Name Adding and Subtracting Fractions Adding Fractions. Last, First # # Date By looking at the model below, we can easily see that 1/3 + 1/3 = 2/3 Notice that we added only the numerators. Since the denominator of both fractions was already 3, we just rewrite it as the denominator of our sum. 1 3 1 3 2 3 + = Parent Signature 1

Adding and Subtracting Fractions Fraction and Decimal Models Name Adding and Subtracting Fractions # Date Last, First # 3/8 + 5/16 In this problem, the denominators are different. We can't add until we rename one of the fractions so it has the same denominator as the other fraction. The LCM of 8 and 16 is 16. 3/8 needs to be renamed so its denominator becomes 16. 3/8 × 2/2 = 6/16 Now the problem can be rewritten and solved. 6/16 + 5/16 = 11/16 Parent Signature 2

Adding and Subtracting Fractions Fraction and Decimal Models Name Adding and Subtracting Fractions # Date Last, First # 1/6 + 3/10 In this problem, we need to rename both fractions to find a common denominator. The LCM of 6 and 10 is 30. Both fractions need to be renamed so their denominators become 30. 1/6 × 5/5 = 5/30 3/10 × 3/3 = 9/30 Now the problem can be rewritten and solved. 5/30 + 9/30 = 14/30 Parent Signature 3

Adding and Subtracting Fractions Fraction and Decimal Models Name Adding and Subtracting Fractions Always simplify your answer. # Date Last, First # In the last problem, the sum was 14/30. This answer is not in its simplest form. To simplify a fraction, divide the numerator and denominator by the greatest common factor of both numbers. The GCF of 14 and 30 is 2. 14/30 ÷ 2/2 = 7/15 14/30 = 7/15 Parent Signature 4

Adding and Subtracting Fractions Fraction and Decimal Models Name Adding and Subtracting Fractions Subtracting Fractions. # Date Last, First # 10/16 - 2/8 To subtract fractions, follow the same procedures used when adding fractions. Rename one or both fractions to obtain common denominators. 10/16 ÷ 2/2 = 5/8 Rewrite and solve. 5/8 - 2/8 = 3/8 The answer is already in simplest form because the GCF of 3 and 8 is 1. Parent Signature 5

Adding and Subtracting Fractions Fraction and Decimal Models Name 1) Fractions must have common denominators before you add or subtract. 2) Add or subtract only the numerators. 3) Always simplify your answer. (The GCF will tell you how to simplify the answer.) Last, First # # Date Parent Signature 6