2. Jack practiced dribbling a soccer ball for of his total

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2. Jack practiced dribbling a soccer ball for of his total Use the draw a diagram strategy to solve Exercises 1–3. 1. Maria made 24 sugar cookies. This is of the number of cookies she made. How many cookies did she make that were not sugar cookies? 2. Jack practiced dribbling a soccer ball for of his total practice time. During the other time, he practiced shooting goals. If he practiced dribbling for 15 minutes, how many minutes did he spend shooting goals? 3. Elizabeth spent 20 minutes reading her magazine yesterday. If this is of the time she spent reading, how many minutes did she spend reading but not reading her magazine? Course 1, Lesson 4-6

ANSWERS 1. 48 2. 35 3. 60 Course 1, Lesson 4-6

multiply and divide fractions? The Number System WHAT does it mean to multiply and divide fractions? Course 1, Lesson 4-6

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. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. 5 Use appropriate tools strategically. Course 1, Lesson 4-6 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

To find the reciprocal of a number To divide by a fraction The Number System To find the reciprocal of a number To divide by a fraction Course 1, Lesson 4-6

The Number System reciprocals Course 1, Lesson 4-6

Since × = 1, the reciprocal of is . Step-by-Step Example 1. Find the reciprocal of . 1 Since × = 1, the reciprocal of is . Need Another Example?

Need Another Example? Find the reciprocal of . Answer

Since × = 1, the reciprocal of is or 8. Step-by-Step Example 2. Find the reciprocal of . 1 Since × = 1, the reciprocal of is or 8. Need Another Example?

Need Another Example? Find the reciprocal of . 4 Answer

Write the whole number as a fraction. Step-by-Step Example 3. Find the reciprocal of 5. Write the whole number as a fraction. 1 5 5 = Find the missing factor. 3 5 1 × = 1 1 5 1 The reciprocal of 5 is . 3 5 Need Another Example?

Need Another Example? Find the reciprocal of 7. Answer

The Number System Divide by a Fraction Words To divide a whole number by a fraction, multiply by its reciprocal. Example Course 1, Lesson 4-6

Find 2 ÷ . Write in simplest form. Step-by-Step Example 4. Find 2 ÷ . Write in simplest form. Use a model. 1 Model the dividend, 2. Divide each whole into thirds. 1 3 1 3 1 3 1 3 1 3 1 3 Think: How many thirds are in 2? 2 Count the total number of sections. There are 6 sections. Use an equation. 3 Multiply by the reciprocal of . Multiply the numerators. 4 Multiply the denominators. Need Another Example?

Find 5 ÷ . Write in simplest form. Need Another Example? Find 5 ÷ . Write in simplest form. Answer 10

Find 7 ÷ . Write in simplest form. Step-by-Step Example 5. Find 7 ÷ . Write in simplest form. 7 3 Write the whole number as a fraction. 1 × 1 2 Multiply by the reciprocal of . 7 3 21 Multiply the numerators. × = 2 Multiply the denominators. 1 2 2 21 1 Simplify. = 10 3 2 2 Need Another Example?

Find 8 ÷ . Write in simplest form. Need Another Example? Find 8 ÷ . Write in simplest form. Answer

Divide 6 by three fourths. Step-by-Step Example 5. At summer camp, the duration of a field hockey game is hour. The camp counselors have set aside 6 hours for field hockey games. How many games can be played? 1 Divide 6 by three fourths. Multiply by the reciprocal. 2 2 Divide 3 and 6 by the GCF, 3. 3 1 Simplify. 4 5 So, 8 games can be played. Need Another Example?

A relay race is 4 miles long. If each runner in Need Another Example? A relay race is 4 miles long. If each runner in the race runs mile, how many runners are in the race? Answer 6 runners

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 4-6

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 sets into fractional parts Course 1, Lesson 4-6

Find 12 ÷ . Course 1, Lesson 4-6 The Number System Ratios and Proportional Relationships Find 12 ÷ . Course 1, Lesson 4-6