Question

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answer 1

`7/24`

Explanation:

Let

x-----> the shaded area

we know that

`x+(1)/(3)+(3)/(8)=1`

Because the complete circle represent the
`100\%`

and

`100\%=100/100=1`

solve for x

Multiply by
`24` both sides

`24x+8+9=24`

`24x=24-17`

`24x=7`

Divide by
`24` both sides

`x=7/24` ----> fraction irreducible

Answer 2

What I would do is find the common denominator for both fractions. The common denominator in this case would be 24 seeing as both 3 and 8 go into 24 evenly. 1/3 would equal to 8/24 by multiplying both 1 and 3 by 8 and 3/8 would equal to 9/24 by multiplying both 3 and 8 by 3. Add 8 and 9 from the fractions 8/24 and 9/24 which would give you 17/24. To find the remaining section of the circle, subtract 17 from 24 which would give you 7/24. 7/24 doesn't reduce any further so your answer would be 7/24 of the circle is shaded.