Question

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

Answer 1

Answer:

$\frac{7}{15}$ of the circle is shaded.

Step-by-step explanation:

Circle Consists of 3 parts.

First part is the shaded part.

Now Given:

Portion of Second part = $\frac{1}{5}$

Also Given:

Portion of Third part = $\frac{1}{3}$

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 = $1-\frac{1}{5}-\frac{1}{3}$

Now taking LCM for making the denominator common we get;

Portion of shaded part =$\frac{1\times15}{15}-\frac{1\times3}{5\times3}-\frac{1\times5}{3\times5} = \frac{15}{15} - \frac{3}{15}-\frac{5}{15} = \frac{15-3-5}{15} = \frac{7}{15}$

Hence We can say that $\frac{7}{15}$ of the circle is shaded.