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**4-2 Improper Fractions and mixed numbers**

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Vocab Improper Fraction- A fraction in which the numerator is greater than or equal to the denominator. Mixed Number – A whole number and a proper fraction Rational Number – Any number that can be expressed as a fraction

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Example 1 What Improper fractions are being named by this number line? 1 2 3

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Example 1 What Improper fractions are being named by this number line? Step 1: recall that in an improper fraction, the numerator is equal to or greater than the denominator. Step 2: Choose the fractions in which the numerator is greater than or equal to the denominator 1 2 3

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Example 1 What Improper fractions are being named by this number line? Step 1: recall that in an improper fraction, the numerator is equal to or greater than the denominator. Step 2: Choose the fractions in which the numerator is greater than or equal to the denominator 1 2 3

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Example 2 Express as a mixed number.

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**Example 2 Express as a mixed number.**

Step 1: In any fraction, the fraction bar (or line segment) that separates the numerator from the denominator means divide. To express an improper fraction as a mixed number, divide the numerator by the denominator.

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**Example 2 Express as a mixed number.**

Step 1: In any fraction, the fraction bar (or line segment) that separates the numerator from the denominator means divide. To express an improper fraction as a mixed number, divide the numerator by the denominator. Step 2: Divide How many times does 2 go into 11?

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**Example 2 Express as a mixed number.**

Step 1: In any fraction, the fraction bar (or line segment) that separates the numerator from the denominator means divide. To express an improper fraction as a mixed number, divide the numerator by the denominator. Step 2: Divide How many times does 2 go into 11?

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**Example 2 Express as a mixed number.**

Step 1: In any fraction, the fraction bar (or line segment) that separates the numerator from the denominator means divide. To express an improper fraction as a mixed number, divide the numerator by the denominator. Step 2: Divide How many times does 2 go into 11? what’s left over?

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**Example 2 Express as a mixed number.**

Step 1: In any fraction, the fraction bar (or line segment) that separates the numerator from the denominator means divide. To express an improper fraction as a mixed number, divide the numerator by the denominator. Step 2: Divide How many times does 2 go into 11? what’s left over? 1

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**Example 2 Express as a mixed number.**

Step 1: In any fraction, the fraction bar (or line segment) that separates the numerator from the denominator means divide. To express an improper fraction as a mixed number, divide the numerator by the denominator. Step 2: Divide How many times does 2 go into 11? what’s left over? 1 So our mixed number is 5

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Example 3 Sometimes when you change an improper fraction to a mixed number, the remainder is 0. When this happens the answer is a whole number Express as a mixed number.

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Example 3 Sometimes when you change an improper fraction to a mixed number, the remainder is 0. When this happens the answer is a whole number Express as a mixed number. How many times does 9 go into 45?

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Example 3 Sometimes when you change an improper fraction to a mixed number, the remainder is 0. When this happens the answer is a whole number Express as a mixed number. How many times does 9 go into 45? 5

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Example 3 Sometimes when you change an improper fraction to a mixed number, the remainder is 0. When this happens the answer is a whole number Express as a mixed number. How many times does 9 go into 45? What’s left?

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Example 3 Sometimes when you change an improper fraction to a mixed number, the remainder is 0. When this happens the answer is a whole number Express as a mixed number. How many times does 9 go into 45? What’s left? 0

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Example 3 Sometimes when you change an improper fraction to a mixed number, the remainder is 0. When this happens the answer is a whole number Express as a mixed number. How many times does 9 go into 45? What’s left? 0 So our answer is the whole number 5

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Example 4 It is also possible to express a mixed number as an improper fraction Express as an improper fraction. To turn a mixed number into an improper fraction we have to multiply the denominator by the whole number.

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Example 4 It is also possible to express a mixed number as an improper fraction Express as an improper fraction. To turn a mixed number into an improper fraction we have to multiply the denominator by the whole number. 13 x 2 = 26

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Example 4 It is also possible to express a mixed number as an improper fraction Express as an improper fraction. To turn a mixed number into an improper fraction we have to multiply the denominator by the whole number. 13 x 2 = 26 Then we add the numerator to that answer and it goes over the denominator

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Example 4 It is also possible to express a mixed number as an improper fraction Express as an improper fraction. To turn a mixed number into an improper fraction we have to multiply the denominator by the whole number. 13 x 2 = 26 Then we add the numerator to that answer and it goes over the denominator = 27

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Example 4 It is also possible to express a mixed number as an improper fraction Express as an improper fraction. To turn a mixed number into an improper fraction we have to multiply the denominator by the whole number. 13 x 2 = 26 Then we add the numerator to that answer and it goes over the denominator = 27 Improper Fraction is

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Activity Page Activity Page 30 1 – 4 16 – 19

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