Question

Question 1(b) :

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

Answer 1

To find out the fraction of a given figure we take the following steps:

(i) Identify the number equal parts in which the figure is divided

(ii) Number of parts that are coloured or shaded

The fraction that they represent = $\frac{\text{Number of parts coloured}}{\text{Total number of equal parts}}$.

The figure represents the fractions $\frac{8}{9},\frac{4}{9},\frac{3}{9},\frac{6}{9}$ respectively.

Now, they are like fractions since they have the same denominator.

When we compare like fractions we compare the numerator of the two fractions.

As per the question we have to arrange the given fractions in ascending and descending order.

Now, 3 < 4 < 6 < 8 and 8 > 6 > 4 > 3.

Hence, the fractions can be arranged in ascending and descending order as shown below.

Ascending order: $\frac{3}{9}<\frac{4}{9}<\frac{6}{9}<\frac{8}{9}$

Descending order: $\frac{8}{9}>\frac{6}{9}>\frac{4}{9}>\frac{3}{9}$