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 is greater than 1 6 .

Correct Answer is : 1 5 > 1 6

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

Step: 1

From the figure, 1 2 > 2 5 .

[The fraction strip representing 1 2 is larger than the two fraction strips representing 1 5 each.]

Step: 2

From the figure, 2 5 > 1 3 .

[The strip combining the two fraction strips representing 1 5 each, is larger than the strip representing 1 3 .]

Step: 3

As 1 2 > 2 5 and 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 and 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 : <

Step: 1

The first model represents 6 8 , the second model represents 4 6

Step: 2

LCD of 6 8 and 4 6 = LCM of denominators 8 and 6 = 24.

Step: 3

Step: 4

Step: 5

16 < 18 [Compare the numerators of 18 24 and 16 24 .]

Step: 6

Step: 7

Correct Answer is : 4 6 < 6 8

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 : <

Step: 1

The first model represents the fraction 7 12 and the second model represents 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 and the other rectangle is divided into 3 equal parts with 1 part shaded representing the fraction 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 and the other circle is divided into 4 equal parts with 2 parts shaded representing the fraction 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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- Denominator
- Order