Dividing fractions-7th Grade

Dividing fractions-7th Grade

by Cherhonda Murchison

Goal: To review equivalent ratios and discuss complex ratios to prepare with 65% accuracy in class

Goal: To review ratios and complex fractions, review how to solve and complete word problems.

Remember there is more than one way to see a ratio. In 7th grade we always use the fractional form

​Don't forget the reciprocal

​Remember the reciprocal if added can become a whole

In your notebook create a equivalent ratio of your choice.

​1.

​Don't forget the method

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Multiple Select

What is a equivalent ratios for  $$\frac{3}{2}$$  

There is more than one answer.

• $$\frac{5}{4}$$  

• $$\frac{9}{6}$$  

• $$\frac{9}{8}$$  

• $$\frac{36}{24}$$  

​Open your Notebooks so you can answer the following:

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​Complex ratios: A Complex Ratio is when two fractions are used to create a ratio.

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​Reciprocals

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If we multiplied the two reciprocals what would happen? You need reciprocals to divide complex ratios.

​Well, wait a minute.....what if???

​It's a whole number?

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​It's a Mixed Number/fraction?

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​What do you do?

​If it's a whole number you....

​If it's a mixed number you....

Multiple Choice

Identify the reciprocal:   $$\frac{3}{1}$$  

HInt: you may have to reduce.

• $$\frac{15}{5}$$  

• $$\frac{1}{3}$$  

• $$\frac{5}{15}$$  

• $$\frac{1}{15}$$  

Multiple Choice

Identify the reciprocal:   $$5\ \frac{1}{5}$$  

• $$\frac{25}{5}$$  

• $$\frac{1}{3}$$  

• $$\frac{6}{25}$$  

• $$5\ \frac{5}{1}$$  

Fill in the Blanks

When we divide complex ratios we use the method keep, change, flip. We keep the first fraction, change the sign to the inverse and flip the last fraction using its reciprocal.

​Method for dividing fractions

​And now....word problems...

​(it's actually easy)

​Write the equations in your notebook

​Your notebook grade is due. It counts for two (2 grades) makes sure you wirte the equation down and answer. You will have four (3) questions. These are your examples and exemplars. It is the algorithim. YOU need them!!!

Poll

How do you feel about complex ratios?  Are you ready to move on?

• I get it. It's super easy.

• I am confused.  Please help.

• I am in between and definitely need a bit. more review.

​What is an exemplar? What is a algorithim?

​a thing serving as a typical example or excellent model

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​What is a algorithim?

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​a process or set of rules to be followed in calculations or other problem-solving operations.

Open Ended

A stack of boards is 21 inches high. Each board is 1 $$\frac{3}{4}$$   inches thick. How many boards are there?

Open Ended

A toy jeep is 12  $$\frac{1}{2}$$   inches long, while an actual jeep measures 18 $$\frac{3}{4}$$  feet long. What is the value of the ratio of the length of the toy jeep to the length of the actual jeep? What does the ratio mean in this situation?

Open Ended

The area of a blackboard is 1 $$\frac{1}{3}$$   square yards. A poster’s area is $$\frac{8}{9}$$   square yards. Find the unit rate.

​Thank you! Complete your assignment given on Edulastic.