Write shaded portions as fractions

Arrange them in ascending and descending orders using correct sign ‘<’ or ‘>’ between the fractions:

(a)

(b)

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

(a) In the first diagram,

First circle represents 3 shaded portions out of 8 equal parts

Therefore,

It is in the fraction

In the second circle, there are 6 shaded parts out of 8 equal parts

Therefore,

It is in the fraction

In the third circle, there are 4 shaded parts out of 8 equal parts

Therefore,

It is in the fraction

In the fourth circle, there are 1 shaded part out of 8 equal parts

Therefore,

It is in the fraction

We can arrange these fractions as follows:

(b) In the above given diagram, we have:

In the first square, there are 8 shaded portions out of 9 equal parts

Therefore,

It is in the fraction

In the second square, there are 4 shaded portions out of 9 equal parts

Therefore,

It is in the fraction

In the third square, there are 3 shaded portions out of 9 equal parts

Therefore,

It is in the fraction

In the fourth square, there are 6 shaded portions out of 9 equal parts

Therefore,

It is in the fraction

We can arrange these fractions as follows:

< < <

(c) We need to represent in a number line. These can be represented as follows:

Therefore,

>

> 0

<

>