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

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 __

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 __

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

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 Ella needs for 1 cups of flour. 1 2 __ Ex. 1: Application How do we convert that improper fraction into a mixed number?

4-6 Mixed Numbers and Improper Fractions 3 4 __ 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

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. = _____ 3 = 11 3 __ First Multiply. Then add Ex. 2: Writing Mixed Numbers as Improper Fractions Write 3 as an improper fraction. 2 3 __

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

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!