Class 07 Activity - Fractions Multiplying a fraction and a whole number

 Activity - Fractions


Objective: 

Multiplying a fraction and a whole number.

Materials Required: 

Some thick sheets of paper, sketch pen, scissors, pen, pencil, etc.

I. To find 4 x 3/4

Procedure:

On a thick sheet of paper, draw 4 congruent squares. Using scissors, cut out these square pieces.



2. Join the opposite vertices of each square to get the diagonals of the squares. 
The diagonals of each square divide the square into 4 equal parts.
 Using scissors, cut out one part of each square. 
Each remaining piece represents 3/4 of the whole square.


3. We know that multiplication is repeated addition of the same number. So, the four pieces shown above represent.


4. Take one of the pieces and using scissors, cut it out into three equal parts. Leave the remaining three pieces as such.



5. Now, rearrange the six pieces to get three complete squares as shown below.
Thus, 4 x  3/4 = 3.

II. To find 5 x  7/10
1. On a thick sheet of paper, draw 5 congruent circles. Using scissors, cut out these circular pieces.
2. Divide each circular piece into 10 equal parts. Using scissors, cut out 3 parts of each circle. Each remaining piece represents 7/10 of the whole circle. 
So, the five pieces together represent 7/10 + 7/10+ 7/10+ 7/10+ 7/10=5 x 7/10



3. Take two pieces and cut each piece into 7 equal parts. Leave the remaining 3 pieces as such.
4. Now, rearrange the pieces to get three complete circles and a half-circle (semi-circle) as shown below.
Thus, 

Do yourself: Using activity method find the following products:





















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