Core Focus on Decimals & Fractions Multiplying and Dividing Mixed Numbers Lesson 5.7

Warm-Up 1.Write as an improper fraction. 2.Write as an improper fraction. 3.Write as an improper fraction. 4.Write as an improper fraction.

Multiplying and Dividing Mixed Numbers Find products and quotients of expressions that include mixed numbers. Lesson 5.7

Step 2Katelyn plans to complete 14 pages of her scrapbook tomorrow. How many hours will it take her? a.Write a math problem that will help her determine this. b.Change each mixed number to an improper fraction and calculate. c.Simplify the answer. Write it in a complete sentence. a.Write the problem. b.Change both the whole number and mixed number to fractions and calculate. c.Simplify the answer. Write the answer in a complete sentence. Katelyn enjoys putting her photos into scrapbooks. When she works diligently, she completes pages each hour. Step 1Katelyn’s relatives are coming in hours. Katelyn wants to know how many pages she can finish before they arrive.

Step 3Katelyn spent a total of hours on her scrapbook last week. How many pages did she complete? Step 4Stephen is just learning to scrapbook. He can finish pages each hour. He worked with Katelyn for the entire hours last week. How many pages did he complete? Step 5Describe in words the steps to take when multiplying or dividing two mixed numbers.

Multiplying and Dividing Mixed Numbers 1.Write each mixed or whole number as an improper fraction. 2.Multiply or divide using the improper fractions. 3.Write the answer in simplest form.

Example 1 Find the value of. Change each mixed number to an improper fraction. Rewrite and multiply. Write as a mixed number.

Example 2 Brennan brought pounds of salmon for his family. Each portion was about pound of salmon. How many portions could he serve? Write the problem. Write the mixed number as an improper fraction. Divide. Simplify. He can serve portions of salmon.

Example 3 Isaac built a tree house for his daughter. He cut a board into 5 equal pieces. How long is each piece of board if the original board was feet long? Write the problem. Write each whole and mixed number as an improper fraction. Multiply by the reciprocal of the divisor. Each equal piece of board is feet long.

Communication Prompt What clues do you look for when reading word problems to figure out which operation (+, −, ×, ÷) you will use?

Exit Problems 1.Find the value of. 2.Find the value of. 3.Marlene can make cards each hour. How many cards can she make in hours? 4.Cory stacked inch thick boards on top of each other. When he finished stacking boards, the stack was inches high. How many boards did he stack? 5 9 boards