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

Verified Answer :

Imcorrect it can be possible to go upto 100

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.