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Dividing Fractions by Fractions. 6A Academic Lab Math Intervention Day 1 of Dividing Fractions by Fractions. Let’s watch two video clips explaining what it means to divide fractions by fractions.
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Dividing Fractions by Fractions 6A Academic Lab Math Intervention Day 1 of Dividing Fractions by Fractions
Let’s watch two video clips explaining what it means to divide fractions by fractions. • http://www.virtualnerd.com/middle-math/multiplying-dividing-fractions/divide/meaning-dividing-fractions This video is 6:40 minutes. • http://www.khanacademy.org/video/conceptual-understanding-of-dividing-fractions-by-fractions This video is just over 5 minutes.
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
We can ask… how many 1/4 are there in 7/8? 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 3 (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 3 minutes with her credits.
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.
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.
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. There are 3 pieces of 2/9 in 2/3 of a yard!
Congrats YOU have completed Lesson #1 of dividing fractions by fractions!