Question

Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:

(a)

(b)

(c) Show on the number line. Put appropriate signs between the fractions given.

Answer 1

(a)

Here, 1^st circle represents 3 shaded parts out of 8 equal parts. Therefore, it represents a fraction .

Here, 2nd circle represents 6 shaded parts out of 8 equal parts. Therefore, it represents a fraction .

Here, 3rd circle represents 4 shaded parts out of 8 equal parts. Therefore, it represents a fraction .

Here, 4^th circle represents 1 shaded part out of 8 equal parts. Therefore, it represents a fraction .

Now, these fractions may be arranged as

(b)

Here, 1^st square represents 8 shaded parts out of 9 equal parts. Therefore, it represents a fraction.

Here, 2nd square represents 4 shaded parts out of 9 equal parts. Therefore, it represents a fraction .

Here, 3rd square represents 3 shaded parts out of 9 equal parts. Therefore, it represents a fraction .

Here, 4th square represents 6 shaded parts out of 9 equal parts. Therefore, it represents a fraction .

Now, these fractions can be arranged as

(c) To represent the given fractions on number line, each unit length should be divided in 6 equal parts. Now, these fractions can be represented as