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

$\frac{1}{10}$ part of the whole painting is gold colored.

Solution:

Given that , In art class, Arthur has created a triangle painting $\frac{1}{5}$ of his painting is purple.  

He decided he wants to Paint $\frac{4}{8}$ of the purple area gold  

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

Now, $\frac{1}{5}$ part of whole painting is purple

And, $\frac{4}{8}$ part of the purple area is gold ⇒ $\frac{4}{8}$ part of the $\frac{1}{5}$ part of whole painting is gold

$\text { Then, fraction of gold color }=\frac{4}{8} \times \frac{1}{5}=\frac{1}{2} \times \frac{1}{5}=\frac{1}{10}$

Hence, $\frac{1}{10}$ part of the whole painting is gold colored.