Find the reciprocal of each number. 1. 2. Divide. Write in simplest form. 3. 4. 5. Lila has 2 miles left to walk. If she walks of a mile per minute, how many more minutes will she be walking? Course 1, Lesson 4-7

ANSWERS 1. 8 2. 3. 9 4. 5. 16 minutes Course 1, Lesson 4-7

multiply and divide fractions? The Number System WHAT does it mean to multiply and divide fractions? Course 1, Lesson 4-7

Mathematical Practices The Number System 6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. 5 Use appropriate tools strategically. 7 Look for and make use of structure. 8 Look for and express regularity in repeated reasoning. Course 1, Lesson 4-7 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

To divide by a fraction To divide a fraction by a whole number The Number System To divide by a fraction To divide a fraction by a whole number Course 1, Lesson 4-7

The Number System Divide by a Fraction Words To divide by a fraction, multiply by its reciprocal. Example Numbers Algebra Course 1, Lesson 4-7

Find ÷ . Write in simplest form. Step-by-Step Example 1. Find ÷ . Write in simplest form. Use a model. 1 Model the dividend, . Divide the whole into thirds. 2 ÷ means how many thirds are in . Count the number of sections that are in . 3 4 Use an equation. Multiply by the reciprocal, . 5 Multiply the numerators. Multiply the denominators. 6 Check by multiplying: Need Another Example?

Find ÷ . Write in simplest form. Need Another Example? Find ÷ . Write in simplest form. Answer 2

Write a story context for ÷ . Use a model to solve. Step-by-Step Example 2. Write a story context for ÷ . Use a model to solve. Mariska has -pound of sunflower seeds. Each day, she feeds the cardinals in her yard pound of seeds. For how many days will she be able to feed the cardinals? 1 Model . The whole is divided into six sections. Count the number of sections. 2 So, Mariska can feed the cardinals for 4 days. 3 Need Another Example?

Write a story context for ÷ . Use a model to solve. Need Another Example? Write a story context for ÷ . Use a model to solve. Sample answer: Megan has -pound of candy. She needs to divide it into -pound bags. How many bags of candy will she have? Answer

Find ÷ 10. Write in simplest form. Step-by-Step Example 3. Find ÷ 10. Write in simplest form. Write the whole number as a fraction with a denominator of 1. 1 Multiply by the reciprocal. 2 1 Divide 5 and 10 by their GCF, 5. 3 2 Multiply the numerators. 4 Multiply the denominators. Need Another Example?

Find ÷ 3. Write in simplest form. Need Another Example? Find ÷ 3. Write in simplest form. Answer

There will be pound of almonds in each package. Step-by-Step Example 3 4 4. Ramón is making party favors. He is dividing pound of almonds into 12 packages. Write and solve an equation to find how many pounds of almonds are in each package. To find the number of pounds in each package, solve the equation ÷ 12 = . 1 2 Multiply by the reciprocal, . 1 3 Divide 3 and 12 by their GCF, 3. 4 Multiply the numerators. 4 Multiply the denominators. 5 There will be pound of almonds in each package. Need Another Example?

Emma is making designs for classroom bulletin Need Another Example? Emma is making designs for classroom bulletin boards. She is cutting yard of fabric into 6 pieces of the same size. How many yards of fabric will be in each piece? Answer

How did what you learned today help you answer the The Number System How did what you learned today help you answer the WHAT does it mean to multiply and divide fractions? Course 1, Lesson 4-7

How did what you learned today help you answer the The Number System How did what you learned today help you answer the WHAT does it mean to multiply and divide fractions? Sample answer: To divide a fractional part of a set into smaller fractional parts To divide a fractional part of a set into parts Course 1, Lesson 4-7

The Number System Ratios and Proportional Relationships The next lesson is about dividing mixed numbers. Explain how you think today’s lesson will help with the next lesson. Course 1, Lesson 4-7