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1 Adding & Subtracting Fractions and Mixed Numbers MATH

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

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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.

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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?

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5 Vocabulary Like fractions Fractions that have the same denominator.

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

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

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8 Vocabulary Unlike fractions Fractions that have different denominators.

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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?

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

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

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Adding Mixed Numbers Write in simplest form. a. 7 ¾ + 2 ¾ b. 7 1/8 + 5 3/8 c. 7 ¾ + 2 2/3 d. 6 1/3 + 2 1/6

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

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

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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

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

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

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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

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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. 11 - 6 3/8 f. 8 – 3 2/3

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

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Class Work 21

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