1. Complex
Fractions

2. OBJECTIVE
Using what I know
about unit rate and
proportions, I will
simplify Complex
Fractions.

3. Let’s Review Unit Rate Define Unit Rate
A rate that is simplified so that it has a denominator of 1.
What do we do to find the unit rate?
1.) Organize our data into a table (if necessary).
2.) We set up our rate as a fractions (y/x).
3.) We divide the numerator and denominator by
the denominator to make sure we get a 1 in
our new denominator.
4.) We write our answer out in a complete
sentence.

4. Unit Rate Review $300 for 6 hours 𝑐𝑜𝑠𝑡 𝑡𝑖𝑚𝑒 300 6 = 50 1 $50 per hour
𝑐𝑜𝑠𝑡 𝑡𝑖𝑚𝑒 = 50 1
$50 per hour
Time
(hours)
Cost 6
300

5. Lets’ Review Proportions
Here are samples from my Power Point that I have constantly running on my Smart Board during Open House. The slides can be used to make your own Power Point. The pictures had to be flattened due to copyright but you can simply edit the text boxes and your own information. The fonts may look different on your screen if they are not downloaded onto your computer. You can change the font to fit your needs. Oneof the fonts used in this product is from kevinandamanda.com. It is called Pea Katrina. It can be downloaded from their website for free if you want to use it.
Lets’ Review Proportions
Define Proportions
An equation stating that two ratios are equal.
How do we Solve Proportions
1.) Cross Multiply
2.) Divide

6. Complex Fraction A fraction whose numerator
or denominator is a fraction
and where the denominator
can not equal zero.
Example: 2 1 2
-----
1 1 4

7. How to Solve Complex Fractions
1.) Organize the data into a table (if necessary)
2.) Set problem up as if you’re solving for the unit rate.
3.) Set problem up as if you’re dividing fractions.
4.) Convert mixed numbers to improper fractions.
5.) Convert whole number to improper fractions.
6.) Cross Multiply (beginning with numerator on the left).
7.) Divide both the numerator and the denominator by
the denominator.
8.) Give your answer in a complete sentence.

8. Let’s Try Some
Simplify : )
2.)

9. Let’s Try Some
Imani is painting her house. She paints 34 𝟏 𝟐 square feet in 𝟑 𝟒 hour. At this rate, how many square feet can she paint each hour

10. Peer Teaching 1.) Stand Up. 2.) Find someone you would like to work
with and sit together.
3.) Decide who will be Peer Teacher A
and Peer Teacher B.
4.) Peer Teacher A, using the steps to
solve Complex Fractions guide your
partner through the process
(partner is working the problem out)
5.) Switch roles with next problem.

11. Peer Teaching Practice
1.)
2.)
3.)
4.)

12. Peer Teaching Practice
5.) Madison wants to make cookies for her little
sister’s birthday party. She is cutting a roll of
cookie dough into pieces that are 𝟏 𝟐 inch thick. If
the roll is 13 inches long, how many cookies can
she make?

13. Peer Teaching Practice
Here are samples from my Power Point that I have constantly running on my Smart Board during Open House. The slides can be used to make your own Power Point. The pictures had to be flattened due to copyright but you can simply edit the text boxes and your own information. The fonts may look different on your screen if they are not downloaded onto your computer. You can change the font to fit your needs. Oneof the fonts used in this product is from kevinandamanda.com. It is called Pea Katrina. It can be downloaded from their website for free if you want to use it.
Peer Teaching Practice
A small airplane used
gallons of fuel to fly
a 2 hour trip. How
many gallons were used
each hour?

14. Independent Practice 1.) 4 15 2 5 2.) 8 3 4
1.)
2.)
3.) Stephanie drove 350 miles to her
grandmother’s house. The trip
took her 5 𝟏 𝟒 hours. What was
her average speed in miles per
hour

15. Textbook page 23 problems 21 - 27
HOMEWORK
Textbook page 23
problems

16. In Closing

17. Support Sessions: .

18. Thank you
for your time!