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

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)`=
`(3)/(4)`

It means three out of four parts is Shaded.

Non Shaded part of
`C_(1)`=1 -
`(3)/(4)`=
`(1)/(4)`

Shaded Part of
`C_(2)`=
`(2)/(3)`

It means two out of three part is Shaded.

Non Shaded part of
`C_(1)`=1 -
`(2)/(3)`=
`(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.