Question

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

Answer 1

Answer:

$7/24$

Step-by-step explanation:

Let

x-----> the shaded area

we know that

$x+\frac{1}{3}+\frac{3}{8}=1$

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.