Class 07 To find the product of two fractions using a squared paper by shading the squares

 Activity - Fractions

Objective : 

To find the product of two fractions using a squared paper by shading the squares.

Materials Required: 

Squared papers, Colour pencils, geometry box, etc.,

Procedure :

I. To find the product 1/3 x 1/5 

On a squared paper, draw a grid of squares 

having 3 rows and 5 columns

2. Colour its 1 row red as shown 

3. Colour its1 column green as shown 

II. To find the product 3/4 x 2/3 

On a squared paper, draw a grid of squares 

having 4 rows and 3 columns

2. Colour 3 rows of this grid red as shown.

3. Colour 2 columns of this grid green as shown

 III. To find the product 2/5 x 3/7 

On a squared paper, draw a grid of squares 

having 5 rows and 7 columns

2. Colour 2 rows of this grid red as shown.

3. Colour 3 columns of this grid green as shown.

Observations:

In figure 3, grid has 3 rows and 5 columns.

 i.e., the grid has 15 squares. Each square represents ¹/₁₅ .

 So, each row represents ¹/₃ and each column represents ¹/₅ 

i.e., the red coloured row represents ¹/₃  and the green coloured row represents ¹/₅ 

So, the double coloured region represents ¹/₃ x ¹/₅  

Only one square is double coloured, which represents ¹/₁₅ . So, ¹/₃ x ¹/₅  = ¹/₁₅ .

2. In figure 6, the grid has 4 rows and 3 columns, i.e., the grid has 12 squares.

3 rows (red coloured) represent ³/₄ and 2 columns (green coloured) represent ²/₃ 

So,  the double coloured region represents, ³/₄ x ²/₃

Double  coloured squares are 6  i.e, 6 out of 12 are double coloured.

So, ³/₄ x ²/₃ =  ⁶/₁₂ = ¹/₂

3. In figure 9, the grid has 5 rows  and 7 columns. i.e., the grid has 35 squares 2 rows (red coloured ) represent ²/₅

3 columns (green coloured) represent ³/₇

So, the double coloured portion represents ²/₅ x ³/₇

No. of double coloured squares = 6

i.e., 6 out of 35 squares are double shaded

Hence, ²/₅ x ³/₇ = ⁶/₃₅

Do Yourself: 

Using squared papers by shading the squares, find the following products.