Topic 1.4 - 1.6 - Dividing Fractions and Mixed Numbers

​Dividing Fractions and Mixed Numbers

​School Year 2022-2023

​Essential Question: How do you fluently divide fractions and mixed numbers?

Students will:

• Compute quotients of fractions divided by fractions (including mixed numbers).

  Interpret quotients of fractions.

  Solve word problems involving division of fractions by fractions.​

​As always, let's start with some review...

Open Ended

In the expression:

124.6 ÷ 0.23

How do you determine how many times you must move the decimal point?

Time to head to the world of dividing fractions...​

Multiple Choice

3.) Find the reciprocal of $$\frac{3}{4}$$  

• 34

• $$\frac{4}{3}$$  

• $$-\frac{3}{4}$$  

• $$-\frac{4}{3}$$  

Multiple Choice

4.)  Find the reciprocal of $$\frac{6}{7}$$  

• 67

• $$-\frac{6}{7}$$  

• $$-\frac{7}{6}$$  

• $$\frac{7}{6}$$  

Multiple Choice

5.) Find the reciprocal of 4.

• $$\frac{1}{4}$$  

• $$-\frac{1}{4}$$  

• $$-\frac{7}{6}$$  

• $$\frac{7}{6}$$  

Multiple Choice

6.)  Find the reciprocal of  $$2\frac{2}{3}$$  

• $$\frac{8}{3}$$  

• $$-\frac{8}{3}$$  

• $$\frac{3}{8}$$  

• $$-\frac{3}{8}$$  

Multiple Choice

7.) How many $$\frac{1}{2}$$  foot pieces can you cut out of a 7 foot piece of wood?

• 3.5 pieces

• 7 pieces

• 14 pieces

• 18 pieces

Multiple Choice

8.)  Papa Millstein wants to divide a  $$\frac{5}{8}$$   pound bag of trail mix into 10 equal bags.  How much trail mix will each bag contain? 

• $$\frac{15}{8}$$  pounds

• $$\frac{1}{5}$$  pound

• 16 pounds

• $$\frac{1}{16}$$  pound

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