4-2 Improper Fractions and mixed numbers

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

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

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

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

Example 2 Express as a mixed number.

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.

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?

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? 5

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? 5 what’s left over?

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? 5 what’s left over? 1

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? 5 what’s left over? 1 So our mixed number is 5

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.

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?

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

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 What’s left?

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 What’s left? 0

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 What’s left? 0 So our answer is the whole number 5

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

Example 4 It is also possible to express a mixed number as an improper fraction Express 13 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

Example 4 It is also possible to express a mixed number as an improper fraction Express 13 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

Example 4 It is also possible to express a mixed number as an improper fraction Express 13 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 26 + 1 = 27

Example 4 It is also possible to express a mixed number as an improper fraction Express 13 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 26 + 1 = 27 Improper Fraction is

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