Question

Jerry has two same size circles divided into same number of equal parts. One circle has 3/4 of the party shaded and the other has 2/3 of the part shaded. His sister says the least number of pieces each circle could be divided into is 7. Is his sister correct ? Explain

Answer 1

Imcorrect it can be possible to go upto 100

Answer 2

Solution:

The Statement about two circles is :

1. The two circles are congruent.

2. Let One circle be $C_{1}$ and another circle be $C_{2}$.

Shaded Part of $C_{1}$= $\frac{3}{4}$

It means three out of four parts is Shaded.

Non Shaded part of $C_{1}$=1 -  $\frac{3}{4}$= $\frac{1}{4}$

Shaded Part of $C_{2}$= $\frac{2}{3}$

It means two out of three part is Shaded.

Non Shaded part of $C_{1}$=1 -  $\frac{2}{3}$= $\frac{1}{3}$

From , Above information we can't draw conclusion that in how many parts or in pieces a circle can be divided.

From , my point of view his sister is incorrect.

If we want to divide a circle , it totally depends on us in how many parts we want to divide it. So, we can't predict the least number.