4-6 Mixed Numbers and Improper Fractions Course 1 Warm Up Warm Up Lesson Presentation Lesson...

4-6 Mixed Numbers and Improper Fractions

Course 1

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Warm UpWorksheet p 29 #’s 4-7

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2

9 __ 1

6 __ 2

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7

12__ 5

6__2

3 __

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8__ 1

2__ 4

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Problem of the Day

Two numbers have a product of 48. When the larger number is divided by the smaller, the quotient is 3. What are the numbers?4 and 12

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Learn to convert between mixed numbers and improper fractions.

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Vocabulary

improper fractionproper fraction

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An improper fraction is a fraction in which the numerator is greater than or equal to the denominator such as .11

4__

is read as “eleven-fourths.”

Reading Math

114

___

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Whole numbers can be written as improper fractions. For example, 7 = 7/1 .

When the numerator is less than the denominator, the fraction is called a proper fraction.

71__

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You can write an improper fraction as a mixed number.

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Additional Example 1: Application

Ella hiked for hours yesterday. Write as a mixed number.

9

4__9

4__

Method 1: Use a model.

Draw squares divided into fourth sections. Shade 9 of the fourth sections.

14

14

14

14

1

4__There are 2 whole squares and 1 fourth square, or 2

squares, shaded.

14

14

14

14

14

14

14

14

1 2 1

4__

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Additional Example 1 Continued

Method 2: Use division.

1

4__

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 9- 8

2

1

Ella hiked for 2 hours.1

4__

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Check It Out: Example 1

Arnold biked for hours yesterday. Write

as a mixed number.

7

4__7

4__


Draw squares divided into fourth sections. Shade 7 of the fourth sections.

14

14

14

14

3

4__There is 1 whole square and 3 fourth squares, or 1

squares, shaded.

14

14

14

14

1 3

4__

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Check It Out: Example 1 Continued

Method 2: Use division.

3

4__

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 7- 4

1

3

Arnold biked for 1 hours.3

4__

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Additional Example 2: Writing Mixed Numbers as Improper Fractions

Write 3 as an improper fraction.2

3__


You can draw a diagram to illustrate the whole and fractional parts.

There are 11 thirds or .

11

3__ Count the thirds in the diagram.

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Additional Example 2 Continued

Method 2: 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__________

3Multiply the whole number by the denominator and add the numerator.

Keep the same denominator.

= 9 + 2_____

3

= 11

3__

Multiply.

Then add.

233

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Check It Out: Example 2

Write 4 as an improper fraction.1

3__


You can draw a diagram to illustrate the whole and fractional parts.

There are 13 thirds, or .

13

3__ Count the thirds in the diagram.

Course 1


Check It Out: Example 2 Continued

Method 2: 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.

1

3__

4 =(3 • 4) + 1__________

3Multiply the whole number by the denominator and add the numerator.

Keep the same denominator.

= 12 + 1______3

= 13

3__

13__4

Multiply.

Then add.

Lesson QuizWrite each mixed number as an improper fraction.

1. Janet watches hours of television per day.

Write as a mixed number.

2. 3 3. 6

4. 10 5. 4

Insert Lesson Title Here

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3

5__ 1

9__

1

2__ 1

8__

7

4__

7

4__

55

9__18

5__

21

2__ 33

8__

3

4__1

4-6 Mixed Numbers and Improper Fractions Course 1 Warm Up Warm Up Lesson Presentation Lesson...

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