Division w/ Fractions and Whole Numbers

Division w/ Fractions and Whole Numbers

• We will interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem..

  
  

  
  

  I will use visual models and patterns to develop a general rule to divide with fractions

  
  

  
  

Dividing Fractions by a Whole Number

• Step 1: Write the whole number as a fraction with 1 as the denominator.

• Step 2: Re-write as a multiplication problem by inverting the second fraction.

• Step 3: Multiply

• Step 4: Reduce

Multiple Choice

 $\frac{1}{8}\div2$ 

• 10

• 16

•  $\frac{1}{10}$  

•  $\frac{1}{16}$  

Multiple Choice

 $\frac{1}{9}\div$  11

• 20

• 99

•  $\frac{1}{20}$  

•  $\frac{1}{99}$  

Multiple Choice

 $\frac{1}{3}\div$  7

• 10

• 21

•  $\frac{1}{21}$  

•  $\frac{1}{10}$  

Multiple Choice

 $\frac{1}{5}\div$  6

• 11

• 30

•  $\frac{1}{11}$  

•  $\frac{1}{30}$  

Multiple Choice

 $\frac{1}{9}\div$  6

• 54

• 15

•  $\frac{1}{15}$  

•  $\frac{1}{54}$  

Dividing a Whole number by a Fraction

• Step 1: Write the whole number as a fraction with 1 as the denominator.

• Step 2: Write a multiplication problem by inverting the second fraction.

• Step 3: Multiply

• Step 4: Reduce

Multiple Choice

3 ÷ ¹/₄ =

• ¹/₁₂

• 12

• 7

• ¹/₇

Multiple Choice

6 ÷ ¹/₃ =

• 18

• ¹/₁₈

• ¹/₁₂

• 12

Multiple Choice

9 $\div$   $\frac{1}{2}$  

• 18

• 11

•  $\frac{1}{11}$  

•  $\frac{1}{18}$  

Multiple Choice

5 $\div$   $\frac{1}{7}$  

• 35

• 12

•  $\frac{1}{12}$  

•  $\frac{1}{35}$  

Multiple Choice

5  $\div$   $\frac{1}{4}$  

• 9

• 20

•  $\frac{1}{20}$  

•  $\frac{1}{9}$  

Open Ended

What multiplication problem patterns do you notice?

Open Ended

Dividing by a fraction is the same as___________.

Open Ended

Quick Write: Explain why visual models can also be used to solve these problems.