Solved Examples and Worksheet for Multiplication of Unit Fractions using Models

Q1Select an appropriate model for 12 × 14.

A. Model 1
B. Model 2
C. Model 3
D. Model 4

Solutions
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Step: 1
12 can be shown as
Step: 2
14 can be shown as
Step: 3
12 × 14 can be shown as
Step: 4
So, 12× 14 = 18 can be shown as below, which matches with Model 3.
Correct Answer is :   Model 3
Q2Select an appropriate model for 16 × 12 .

A. Model 3
B. Model 1
C. Model 2
D. Model 4

Solutions
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Step: 1
16 can be shown as
Step: 2
12 can be shown as
Step: 3
16 × 12 can be shown as
Step: 4
So, 16 × 12 = 112 can be shown as below, which matches with Model 1.
Correct Answer is :   Model 1
Q3Select an appropriate model for 16 × 16 .


A. Model 1
B. Model 4
C. Model 2
D. Model 3

Solutions
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Step: 1
16 can be shown as
Step: 2
16 × 16 can be shown as
Step: 3
16 × 16 = 136 matches with Model 1.
Correct Answer is :   Model 1
Q4Select an appropriate model for 17 × 17.

A. Model 4
B. Model 3
C. Model 2
D. Model 1

Solutions
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Step: 1
17 can be shown as
Step: 2
17 × 17 can be shown as
Step: 3
So, 17 × 17 = 149 matches with Model 1.
Correct Answer is :   Model 1
Q5Which of the models shows 14 × 15 ?


A. Model 3
B. Model 1
C. Model 4
D. Model 2

Solutions
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Step: 1
14 can be shown as
Step: 2
14 × 15 can be shown as
Step: 3
So, 14 × 15 = 120 matches with Model 1.
Correct Answer is :   Model 1
Q6Which of the models shows 15 × 17 ?

A. Model 3
B. Model 2
C. Model 4
D. Model 1

Solutions
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Step: 1
15 can be shown as
Step: 2
15 × 17 can be shown as
Step: 3
So, 15 × 17 = 135 matches with Model 3.
Correct Answer is :   Model 3
Q7Pick an appropriate model for 17 × 18 .


A. Figure 4
B. Figure 3
C. Figure 2
D. Figure 1

Solutions
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Step: 1
We represent 1 whole with a rectangle. Divide it vertically into 7 sections because the denominator of the first fraction is 7.
Step: 2
Again divide the rectangle horizontally into 8 sections because the denominator of the second fraction is 8.
Step: 3
Color any 1 of the vertical sections of the rectangle because the numerator of the first fraction is 1.
Step: 4
Color any 1 of the horizontal sections because the numerator of the second fraction is 1.
Step: 5
The common area of the rectangle, where both the column and the row overlap is encircled. It represents the required product 156 which is showed in figure 4.
Correct Answer is :   Figure 4
Q8Pick an appropriate model for 18 × 18 .


A. Figure 2
B. Figure 1
C. Figure 4
D. Figure 3

Solutions
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Step: 1
We represent 1 whole with a rectangle. Divide it vertically into 8 sections because the denominator of the first fraction is 8.
Step: 2
Again divide the rectangle horizontally into 8 sections because the denominator of the second fraction is 8.
Step: 3
Color any 1 of the vertical sections of the rectangle because the numerator of the first fraction is 1.
Step: 4
Color any 1 of the horizontal sections because the numerator of the second fraction is 1.
Step: 5
The common area of the rectangle, where both the column and the row overlap is encircled. It represents the required product 164 which is showed in figure 2.
Correct Answer is :   Figure 2
Q9Select an appropriate model for 19 × 15 .


A. Figure 3
B. Figure 1
C. Figure 4
D. Figure 2

Solutions
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Step: 1
We represent 1 whole with a rectangle. Divide it vertically into 9 sections because the denominator of the first fraction is 9.
Step: 2
Again divide the rectangle horizontally into 5 sections because the denominator of the second fraction is 5.
Step: 3
Color any 1 of the vertical sections of the rectangle because the numerator of the first fraction is 1.
Step: 4
Color any 1 of the horizontal sections because the numerator of the second fraction is 1.
Step: 5
The common area of the rectangle, where both the column and the row overlap is encircled. It represents the required product 145 which is showed in figure 3.
Correct Answer is :   Figure 3

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