Question

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answer 1

`(7)/(15)` of the circle is shaded.

Explanation:

Circle Consists of 3 parts.

First part is the shaded part.

Now Given:

Portion of Second part =
`(1)/(5)`

Also Given:

Portion of Third part =
`(1)/(3)`

We need to find the portion of shaded part.

Solution:

We know that 1 whole circle is divided in 3 parts.

So Portion of shaded part will be equal to 1 circle minus Portion of Second part minus Portion of third part.

framing in equation form we get;

Portion of shaded part =
`1-(1)/(5)-(1)/(3)`

Now taking LCM for making the denominator common we get;

Portion of shaded part =
`(1*15)/(15)-(1*3)/(5*3)-(1*5)/(3*5) = (15)/(15) - (3)/(15)-(5)/(15) = (15-3-5)/(15) = (7)/(15)`

Hence We can say that
`(7)/(15)` of the circle is shaded.