IM 6.4.11 Lesson: Using an Algorithm to Divide Fractions
Evaluate each expression.
Work with a partner.
Partner A: Find the value of this expression by completing the diagram.
How many s in ?
Find the value of this expression by completing the diagram.
How many s in ?
Use the applet to confirm your answers and explore your own examples.
Partner B:
Elena said: “If I want to divide 4 by , I can multiply 4 by 5 and then divide it by 2 or multiply it by .” Find the value of each expression using the strategy Elena described.
Both Partner A and B:
What do you notice about the diagrams and expressions? Discuss with your partner.
Complete this sentence based on what you noticed: To divide a number by a fraction , we can multiply by ________ and then divide the product by ________.
Select all equations that represent the statement you completed.
Calculate each quotient. Show your thinking and be prepared to explain your reasoning.
After biking miles, Jada has traveled of the length of her trip. How long (in miles) is the entire length of her trip? Write an equation to represent the situation, and then find the answer.
Suppose you have a pint of grape juice and a pint of milk. You pour 1 tablespoon of the grape juice into the milk and mix it up. Then you pour 1 tablespoon of this mixture back into the grape juice. Which liquid is more contaminated?