Solved Examples and Worksheet for Comparing/Ordering Fractions using Models-Unlike Denominators
A.
B.
C.
D.
Step: 1
Draw two congruent circles.
Step: 2
Divide one circle into five equal parts and shade 1 part to represent 1 5
Step: 3
Divide the other circle into six equal parts and shade 1 part to represent 1 6
Step: 4
From the figures, 1 5 1 6
Correct Answer is : 1 5 1 6
A.
B.
C.
Step: 1
The first model represents the fraction 5 12
Step: 2
The second model represents the fraction 3 8
Step: 3
The LCD of the two fractions is 24.
Step: 4
[Write the equivalent fractions of the fractions using the LCD as denominator.]
Step: 5
[Compare the numerators and arrange the fractions in the decreasing order.]
Step: 6
Correct Answer is : 5 12 3 8
A.
B.
C.
D.
Step: 1
From the figure, 1 2 2 5
[The fraction strip representing 1 2 1 5
Step: 2
From the figure, 2 5 1 3
[The strip combining the two fraction strips representing 1 5 1 3
Step: 3
As 1 2 2 5 2 5 1 3 1 2 2 5 1 3
Step: 4
So, the fractions ordered from greatest to least are 1 2 2 5 1 3
Correct Answer is : 1 2 2 5 1 3
Step: 1
Step: 2
We got two fractions from the above model are 1 3 2 3
Step: 3
Now we are comparing the fractions.
Step: 4
Here, denominators are common, but numerators are different. So, let us compare the numerators. That is 1 < 2.
Step: 5
So, amongst the choices, "<" fills the box given in the model.
Correct Answer is : <
A.
B.
C.
D.
Step: 1
The first model represents 6 8 4 6
Step: 2
LCD of 6 8 4 6
Step: 3
Step: 4
Step: 5
16 < 18 [Compare the numerators of 18 24 16 24
Step: 6
Step: 7
Correct Answer is : 4 6 6 8
A. <
B. >
C. ×
D. =
Step: 1
[Original fractions.]
Step: 2
Since the numerator for all the fractions is same, compare the denominators.
Step: 3
The fraction with the greatest denominator will have the least value.
Step: 4
As 3 > 2, 1 3 1 2
Step: 5
So, 1 3 1 2
Correct Answer is : <
A.
B.
C.
D.
Step: 1
The first model represents the fraction 7 12 4 8
[Because, in the first model, 7 out of 12 parts are shaded and in the second model, 4 out of 8 parts are shaded.]
Step: 2
Look at the shaded areas. The shaded area of the first model is larger than the second model. So, 7 12 4 8
Correct Answer is : 7 12 4 8
Step: 1
The figure shown contains two rectangles of equal size: one rectangle is divided into 6 equal parts with 1 part shaded representing the fraction 1 6 1 3
Step: 2
From the figure shown, it is clear that the area shaded in Rectangle A is less than the area shaded in Rectangle B.
Step: 3
Therefore, the shaded parts of Rectangle A and Rectangle B are not equal.
Correct Answer is : No
Step: 1
The figure shown contains two circles of equal size: one circle divided into 8 equal parts with 6 parts shaded representing the fraction 6 8 2 4
Step: 2
From the figure shown, it is clear that the area shaded in Circle A is greater than the area shaded in Circle B.
Step: 3
Therefore, the shaded parts of Circle A and Circle B are not equal.
Correct Answer is : No
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Related Worksheet
- Denominator
- Order