1. Dividing Fractions by Fractions
Academic Lab
Math Intervention
Day 1 of Dividing Fractions by Fractions

2. Let’s watch two video clips explaining what it means to divide fractions by fractions.
This video is 6:40 minutes.
This video is just over 5 minutes.

3. Remember to create full bars of the same size.
Practice #1
A video game required a player to have of a credit in order to play for a minute. Emma has credit. How many minutes can Emma play?
We want to know how many credits (to play for minute) fit in credit.
Let’s draw a model.
Remember to create full bars of the same size.
7/8 credits earned
1/4 credit per minute
1/8
1/8 (not earned)
1/4

4. We can ask… how many 1/4 are there in 7/8? 7 8 =?× 1 4
How many 1/8 fractions are in ONE 1/4 fraction?
There are TWO 1/8 fractions in ONE 1/4 fraction.
So if there are only SEVEN 1/8 fractions which is the same as 7/8.
How many 1/4 fractions are there in 7/8?
There are (three and a half) 1/4 fractions in 7/8.
If each 1/4 equals one minute of credit on the video game, how long will Emma get to play the video game?
Emma can play the video game for minutes with her credits.

5. “Stay, Change, Change!” Write it as a multiplication problem.
Let’s solve this same problem using the standard algorithm of “Multiply the Reciprocal.”
A video game required a player to have of a credit in order to play for a minute. Emma has credit. How many minutes can Emma play?
Think about the situation…
1st: What do we have? 7/8
2nd:What fraction size are we cutting it into? 1/4
Apply the standard algorithm… “Multiply the Reciprocal!”
“Stay, Change, Change!” Write it as a multiplication problem.
Change improper fractions into mixed numbers and/or simplify your final solution.
7 8 ÷ 1 4
7 8 ÷ 1 4 = 7 8 × 4 1 = 7×4 8×1 = 28 8 =3 4 8 =3 1 2

6. Your Turn! Good Luck! I bet you get MORE than a fraction right! 
Natalie is making scrapbooks for friends. She wants to decorate each scrapbook with 2/9 yard of ribbon. She has a spool with 2/3 yard of ribbon left on it. She plans to use all of the ribbon on the spool. How many scrapbooks can Natalie decorate?
Hints:
Think about the situation… Draw a model, create same size, full bars
1st: What do we have?
2nd:What fraction size are we cutting it into?
Apply the standard algorithm… “Multiply the Reciprocal!”
“Stay, Change, Change!” Write it as a multiplication problem.

7. There are 3 pieces of 2/9 in 2/3 of a yard!
Review your work! Review your work! Review your work! Analysis steps that you completed correctly and determine which steps need more practice and attention.
Think about the situation… Draw a model, create same size, full bars
1st: What do we HAVE? 2/3 of a yard
2nd:What fraction size are we cutting it into? 2/9 of a yard
2/3 of a yard
2/9 of a yard
THINK! How many 1/9 fractions do you want TOGETHER?
TWO 1/9 fractions= 2/9 SOOOOO…… How many 2/9 fractions are in 2/3 of a yard?
Apply the standard algorithm… “Multiply the Reciprocal!”
“Stay, Change, Change!” Write it as a multiplication problem.
2 3 ÷ 2 9 = 2 3 × 9 2 = 2×9 3×2 = 18 6 =3
There are 3 pieces of 2/9 in 2/3 of a yard!
1/3
Don’t have this piece!
1/9

8. Congrats YOU have completed Lesson #1 of dividing fractions by fractions!