Question

Shade $${\displaystyle \frac{1}{2}}$$ of the circles.

Answer 1

Hint: First of all, count the total number of circles in the box. Now, calculate $${\displaystyle \frac{1}{2}}$$ of the total number of circles. At last, shade $${\displaystyle \frac{1}{2}}$$ of the total number of circles. The shaded diagram is the required diagram.

Complete step-by-step answer:
According to the question, we are given a figure in which we have a box and there are circles inside that box.
We are asked to shade $${\displaystyle \frac{1}{2}}$$ of the circles. That is, we shade half of the total the number of the circles in the box.
First of all, we require the total number of circles available inside the box.
Now, from the given diagram, we can observe that
The number of circles in the first row = 4 ………………………………………..(1)
The number of circles in the second row = 4 ……………………………………………….(2)
The total number of circles in the box = The number of circles in the first row + The number of circles in the second row ……………………………………………..(3)
Now, from equation (1), equation (2), and equation (3), we get
The total number of circles in the box = $$4+4$$ = 8 ………………………………………(4)
The number of circles to shade = $${\displaystyle \frac{1}{2}}\times$$ The total number of circles in the box …………………………………………..(5)
From equation (4) and equation (5), we get
The number of circles to shade = $${\displaystyle \frac{1}{2}}\times 8=4$$ ……………………………………………………..(6)
Now, on shading 4 circles in the given diagram, we get

The above diagram is the required figure.
Hence, $${\displaystyle \frac{1}{2}}$$ of the circles are shaded.

Note: In this question, one might shade $${\displaystyle \frac{1}{2}}$$ fractional part of every circle. This is not the correct approach because we are asked to shade half of the total number of the circles inside the box. Therefore, take this point into consideration.