Question

In art class, Arthur has created a triangle painting 1/5 of his painting is purple. He decided he wants to Paint 4/8 of the purple area gold what fraction of the whole painting will be painting?

Answer 1

`(1)/(10)` part of the whole painting is gold colored.

Solution:

Given that , In art class, Arthur has created a triangle painting
`(1)/(5)` of his painting is purple.

He decided he wants to Paint
`(4)/(8)` of the purple area gold

We have to find what fraction of the whole painting will be painting?

Now,
`(1)/(5)` part of whole painting is purple

And,
`(4)/(8)` part of the purple area is gold ⇒
`(4)/(8)` part of the
`(1)/(5)` part of whole painting is gold

`\text { Then, fraction of gold color }=(4)/(8) * (1)/(5)=(1)/(2) * (1)/(5)=(1)/(10)`

Hence,
`(1)/(10)` part of the whole painting is gold colored.