1 Adding & Subtracting Fractions and Mixed Numbers MATH.

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Presentation transcript:

1 Adding & Subtracting Fractions and Mixed Numbers MATH

2 What Are You Learning? I CAN add fractions and mixed numbers. I CAN subtract fractions and mixed numbers.

3 Why Do You Need To Know This? Adding and subtracting fractions is important because many real-world situations deal with fractions. Such as recipes, measurements, distances, lengths, and heights.

4 Do You Know? What is the answer for 6/11 + 3/11? What are the steps for solving the above problem? What is the answer for 3/10 + 5/10? What are the steps for solving the above problem?

5 Vocabulary Like fractions Fractions that have the same denominator.

6 Adding Like Fractions Add the numerators. Keep the same denominator. Simplify if needed.

7 Find each sum. a. 5/9 + 2/9 b. 7/12 + 4/12 c. 6/7 + 3/7

8 Vocabulary Unlike fractions Fractions that have different denominators.

9 Do You Know? What is the answer for the ¾ + 1/8? The answer is 7/8. Can you figure out how to find the answer? What are the steps for solving the above problem?

10 Adding Unlike Fractions Find the least common denominator. Change the numerators. (Find equivalent fractions) Add the numerators and keep the denominator. Simplify.

11 Add. Simplify if needed. a. ½ + 1/6 b. 1/3 + 1/9 c. 7/8 + ¾ d. 5/6 + 4/9

Adding Mixed Numbers Write in simplest form. a. 7 ¾ + 2 ¾ b. 7 1/ /8 c. 7 ¾ + 2 2/3 d. 6 1/ /6

13 Subtracting Like Fractions Subtract the numerators. Keep the same denominator. Simplify if needed.

14 Subtract. Write in simplest form. a. 9/10 – 1/10 b. 5/6 – 1/6 c. 8/9 – 2/9

15 Subtract. Write in simplest form. a. 7/8 - 5/6 b. ¾ - 1/6 c. 5/6 – 3/8 d. 2/3 – 1/6

16 Subtracting Like Fractions Subtract the numerators. Keep the same denominator. Simplify if needed.

17 Subtract. Write in simplest form. a. 9/10 – 1/10 b. 5/6 – 1/6 c. 8/9 – 2/9

18 Subtract. Write in simplest form. a. 7/8 - 5/6 b. ¾ - 1/6 c. 5/6 – 3/8 d. 2/3 – 1/6

19 Subtracting Mixed Numbers Write in simplest form. a. 8 5/6 – 2 1/3 b. 13 7/8 – 9 ¾ c. 9 7/10 – 4 3/5 d. 7 – 1 ½ e /8 f. 8 – 3 2/3

20 Subtracting Mixed Numbers Write in simplest form. a. 7 ¼ - 2 ¾ b. 5 1/5 – 3 4/5

Class Work 21