Lesson 4: Using Multiplication to Find Equivalent Fractions

1

2
 

2

4
 

4

8
 
 


 For the fractions         ,         and        , if you multiply the numerator and the

 denominator of one fraction by 2, the result will be the fraction to its right.

Text Box: If you multiply the numerator and denominator by the same number, the resulting fraction will have the same value.
 

 

 

 

 

 

 


Exercise 4: Use multiplication to find equivalent fractions.

 

(1)   Circle Yes if the fractions in each set are equivalent; circle No if they are not.

 

 

 

 

 

 

 


(2) Fill in the blanks in each problem below to create an equivalent fraction.

 

 

 

 

 

 

 

 

 

 


(3) Fill in the blanks to create equivalent fractions in each group.

 

 

 

 

 

 

 


Lesson 5: Using Division to Find Equivalent Fractions

1

2
 

2

4
 

4

8
 
 


 For the fractions         ,         and        , if you divide the numerator and the

 denominator of one fraction by 2, you will get the fraction to its left.

Text Box: If you divide the numerator and denominator by the same number, the resulting fraction will have the same value.
 

 

 

 

 

 

 


Exercise 5: Use division to find equivalent fractions.

 

(1)   Circle Yes if the fractions in each set are equivalent; circle No if they are not.

 

 

 

 

 

 

 


(2)   Fill in the blanks in each problem below to create an equivalent fraction.

 

 

 

 

 

 

 

 

 

 


(3)   Fill in the blanks to create equivalent fractions in each group.

 

 

 

 

 

 

 


Lesson 10: Multiplying a Fraction by a Whole Number

To multiply a whole number and a fraction, multiply the numerator of the fraction by the whole number. The denominator remains the same.
 
 

 

 

 

 

 

7

8
 
 

 


7

8
 
 

   The shaded area above is     .

                                                        The shaded area is now three times      .

 

Exercise 10: Multiplying a fraction by a whole number.

 

(1)   Multiply the fractions by whole numbers in the problems below. Color the rectangles to represent the fraction and the answer.

 

2 x 2

   3
 

4

3
 

5

6
 

2

3
 
     

       x  2 =             =                                            x 3 =

Fraction

 

Answer
 

2

3
 
                

                                   Fraction

4

3
 
 


                                   Answer.

 

 


       x 3  =                                                          x 5 =      

 

Fraction

 

Answer
 

Fraction

 

Answer
 
 

 

 

 

 

 


       x 5  =                                                          x 5 =      

Fraction

 

Answer
 

Fraction

 

Answer
 
 

 

 

 

 


Lesson 22: Converting Whole Numbers into Mixed Numbers

 

(1)  Divide one of the three squares below into three equal parts. As a result, we have two whole squares plus one square with three equal parts.

 

 

 

Rectangular Callout: There are two blocks plus one block divided into three equal parts.
Rectangular Callout: There are three blocks.
 

 

 

 

3

3
 
 


3

3
 
The whole number 3 can now be expressed as a mixed number, 2      .

 

                                      3 = 2

 

 

(2)  Divide one of the three squares below into six equal parts. As a result, we have two whole squares plus one square with six equal parts.

 

 

 

 

Rectangular Callout: There are three blocks.
Rectangular Callout: There are 3 blocks plus 1 block divided into six equal parts.
 

 

 

 

6

6
 
 


The whole number 3 can now be expressed as a mixed number,  2     .

6

6
 
 


                                      3 = 2

 

(3) Convert the whole number 4 into a mixed number with a denominator of 7.

7

7
 

4 = 3
 
 

 

             

(4) Convert the whole number 6 into a mixed number with a denominator of 5.