[tex]\frac{1}{10}[/tex] part of the whole painting is gold colored.
Solution:
Given that , In art class, Arthur has created a triangle painting [tex]\frac{1}{5}[/tex] of his painting is purple.
He decided he wants to Paint [tex]\frac{4}{8}[/tex] of the purple area gold
We have to find what fraction of the whole painting will be painting?
Now, [tex]\frac{1}{5}[/tex] part of whole painting is purple
And, [tex]\frac{4}{8}[/tex] part of the purple area is gold ⇒ [tex]\frac{4}{8}[/tex] part of the [tex]\frac{1}{5}[/tex] part of whole painting is gold
[tex]\text { Then, fraction of gold color }=\frac{4}{8} \times \frac{1}{5}=\frac{1}{2} \times \frac{1}{5}=\frac{1}{10}[/tex]
Hence, [tex]\frac{1}{10}[/tex] part of the whole painting is gold colored.
