Math 5Mixed Numbers and Improper Fractions

Instructor: Mrs. Tew Turner

In this lesson we will learn about mixed numbers and

improper fractions.

Math Warm-up

How many $0.15 pencils can Ahmed buy for $2.00?

Pause lesson to work.

Math Warm-up - ANSWER

$2.00 ÷ $0.15

13 pencils

How many $0.15 pencils can Ahmed buy for $2.00?

In this lesson we will answer the question:

How are mixed numbers and improper fractions related?

Vocabulary Review

divisor- the number that a dividend is divided by24 ÷ 4 = 6

4 24

6

Vocabulary Review

fraction – a symbol, such as ¾, used to describe one or more parts of a whole that is divided into equal parts. A fraction can name a part of a whole, a part of a set, a location on a number line, or a division of whole numbers.

Vocabulary - Review

numerator - the number above the fraction bar in a fraction.

denominator - the number below the fraction bar in a fraction.

12 denominator

numerator

Vocabularymixed number – a whole number and a fraction Ex.

Vocabularyimproper fraction – a fraction whose numerator is greater than or equal to its denominator (the fraction is 1 whole or more)Ex.

Connecting to Previous Learning

You have already learned how to find equivalent fractions. Today, we will use a similar method to move between mixed numbers and improper fractions.

You can use either an improper fraction or a mixed fraction to show the same amount. For example 1 3/4 = 7/4, as shown here:

You know that 20 ÷ 9 = 20

9

This is an improper fraction because the numerator is greater than the denominator.

Improper fractions can be rewritten as mixed numbers!

You can write 20 ÷ 9 as a mixed number.

You know that 20 ÷ 9 = 20

9Step 1: Divide the numerator by the denominator.

9 20 18 2

2

You can write 20 ÷ 9 as a mixed number.

You know that 20 ÷ 9 = 20

9Step 2: Write the remainder as a fraction. 9 20 18 2

2The divisor is the denominator!

2 29

Write as an improper fraction.

229

Step 1: Multiply the denominator of the fraction by the whole number.

x2 x 9 = 18

2 29

Write as an improper fraction.

2 29

Step 2: Add the numerator of the fraction.

229

x

18 + 2 = 20

+

Write as an improper fraction.

2 29

Step 3: Write using the same denominator.

20 9

2 29

Write as an improper fraction.

2 29

2 29

= 20 9

Document Camera

Get your notebook

and pencil ready.

Make sure you

have the Lesson #

and date on your

page.

In your Math NotebookIndependent Practice

Write the improper fraction as a mixed number, or the mixed number as an improper fraction.1.

2.

3.

4.

5.

6.

2 29

2 29

2 2920

9

20 9

20 9

Steps to write a mixed number as an improper fraction:

1. Divide the numerator by the denominator.

2. Write the remainder as a fraction.

Lesson Review

Steps to write an improper fraction as a mixed number:

1. Multiply the denominator of the fraction by the whole number.

2. Add the numerator of the fraction.

3. Write using the same denominator.

Lesson Review

Quick Check

1. Is 5/5 an improper fraction? Explain your reasoning.

2. Simone thinks that 8/4 is not an improper fraction because 8 ÷ 4 = 2. Is she correct? Explain.

In your Math Notebook

Quick Check – ANSWERS

1. Is 5/5 an improper fraction? Explain your reasoning. Yes, because the numerator is equal to the denominator.

2. Simone thinks that 8/4 is not an improper fraction because 8 ÷ 4 = 2. Is she correct? Explain.It is an improper fraction because the numerator is greater than the denominator. Also, the value of it is greater than one.

http://www.mathplayground.com/fractions_mixed.html

http://www.mathplayground.com/fractions_improper.html

More Practice!

Today you learned how mixed numbers and improper fractions are related.

Good Work with this

lesson.