Answer :

influencedghost
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.
calculista

Answer:

[tex]7/24[/tex]

Step-by-step explanation:

Let

x-----> the shaded area

we know that

[tex]x+\frac{1}{3}+\frac{3}{8}=1[/tex]

Because the complete circle represent the [tex]100\%[/tex]

and

[tex]100\%=100/100=1[/tex]

solve for x

Multiply by [tex]24[/tex] both sides

[tex]24x+8+9=24[/tex]

[tex]24x=24-17[/tex]

[tex]24x=7[/tex]

Divide by [tex]24[/tex] both sides

[tex]x=7/24[/tex] ----> fraction irreducible


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