Answer: 16/9 or 1 7/9
Step-by-step explanation:
plug in the values
4 2/3 + 2/3 * 1/2
add the first two values
4 2/3 + 2/3 = 4 4/3 or 5 1/3
multiply 5 1/3 by 1/2
5 1/3 * 1/3 = 16/9 or 1 7/9
43/5 this is an improper fraction so we will convert it to a mixed number...
(40+3)/5
8+3/5
So he can make 8 complete groups and will have 3 left over.
From the shaded diagram, Raphael will need 3 of the 6 equal portions, or exactly 1/2 of the area of the circle. Given a radius of 12 ft, knowing that the area of any given circle is

, and knowing that the area of the fabric needs to be half of the total area, we can set up the equation for the area of the fabric

:

Simplifying, we find that the area of the fabric is exactly

ft.² Using the approximation of 3.14 for π, we get an area of approximately

ft² of fabric.