1. 4-6 Mixed Numbers and Improper Fractions Warm Up Order the fractions from least to greatest. 1. 2. 3. 2 9 __ 1 6 2 3 7 12 __ 5 6 2 3 5 8 1 2 4 11 __, 5 8 __ 1 2 4 11 __, 2 3 __ 5 6 7 12 __, 2 9 __ 2 3 1 6,

2. 4-6 Mixed Numbers and Improper Fractions An improper fraction is a fraction in which the numerator is greater than or equal to the denominator such as. 11 4 __

3. 4-6 Mixed Numbers and Improper Fractions Whole numbers can be written as improper fractions. The whole number is the numerator, and the denominator is 1. For example, 7 =. When the numerator is less than the denominator, the fraction is called a proper fraction. 7 1 __

4. 4-6 Mixed Numbers and Improper Fractions You can write an improper fraction as a mixed number.

5. 4-6 Mixed Numbers and Improper Fractions Use division! 2 4 __ Rule for making a mixed number! Divide the numerator by the denominator. To form the fraction part of the quotient, use the remainder as the numerator and the divisor as the denominator. 4 6 - 4 1 2 Ella needs for 1 cups of flour. 1 2 __ Ex. 1: Application How do we convert that improper fraction into a mixed number?

6. 4-6 Mixed Numbers and Improper Fractions 3 4 __ 4 7 - 4 1 3 Arnold biked for 1 hours. 3 4 __ Try this one on your own… Arnold biked for hours yesterday. Write as a mixed number. 7 4 __ 7 4

7. 4-6 Mixed Numbers and Improper Fractions Use multiplication and addition. When you are changing a mixed number to an improper fraction, spiral clockwise as shown in the picture. The order of operations will help you remember to multiply before you add. 2 3 __ 3 = (3 3) + 2 __________ 3 Multiply the whole number by the denominator and add the numerator. Keep the same denominator. = 9 + 2 _____ 3 = 11 3 __ First Multiply. Then add. 2 3 3 Ex. 2: Writing Mixed Numbers as Improper Fractions Write 3 as an improper fraction. 2 3 __

8. 4-6 Mixed Numbers and Improper Fractions Try this one on your own… 1 3 __ 4 = (3 4) + 1 __________ 3 = 12 + 1 ______ 3 = 13 3 __ 1 3 4 Multiply. Then add. Write 4 as an improper fraction. 1 3 __

9. 4-6 Mixed Numbers and Improper Fractions Communicator Activity Write each improper fraction as a mixed number. Show your work! Write the following mixed numbers as improper fractions. Show your work!