Question

Brent created a mural, 4/5 of which he painted in shades of blue. Three eighths of the blue area is sky blue. What portion of the mural is sky blue? Write your answer in simplest form.

Answer 1

Answer:
`(3)/(10)` of the mural is sky blue.

Explanation:

Let x be the full portion of mural.

Since,
`(4)/(5)` of mural is painted in shades of blue.

Therefore, the blue portion=
`(4)/(5)x`

Also, Three eighths of the blue area is sky blue.

Therefore, the portion of the mural is sky blue=
`(3)/(8)*(4)/(5)x`

The portion of the mural is sky blue=
`(12)/(40)x`

Simplify, by dividing numerator and denominator by 4, we get

The portion of the mural is sky blue=
`(3)/(10)x`