Answer:1/10
Explanation:
Let the area of the triangle be x
Arthur is painting 1/5 of the area of the triangle purple
Purple area = 1/5 × x = x/5
He decided he wants to paint 4/8 of the purple area gold
Gold area = 4/8 ×x/5= 4x/40 = x/10
Remaining area left apart from the gold = x - x/10
=9x/10
The fraction of the whole painting that he will be painting =
Gold area/ area of full triangle
= x/10 ÷ 10 = 1/10