math 5 mixed numbers and improper fractions instructor: mrs. tew turner
TRANSCRIPT
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.