Answer:
[tex]\frac{7}{15}[/tex] 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 = [tex]\frac{1}{5}[/tex]
Also Given:
Portion of Third part = [tex]\frac{1}{3}[/tex]
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 = [tex]1-\frac{1}{5}-\frac{1}{3}[/tex]
Now taking LCM for making the denominator common we get;
Portion of shaded part =[tex]\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}[/tex]
Hence We can say that [tex]\frac{7}{15}[/tex] of the circle is shaded.
