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circle m and circle s are the same size. circle m is shaded to represen…

Question

circle m and circle s are the same size. circle m is shaded to represent a fraction. how many parts of circle s should be shaded to show an equivalent fraction? a. 5 b. 1 c. 4 d. 2

Explanation:

Step1: Determine fraction for Circle M

Circle M is divided into 4 equal parts, and 1 part is shaded. So the fraction is $\frac{1}{4}$.

Step2: Find equivalent fraction for Circle S

Circle S is divided into 8 equal parts. Let the number of shaded parts be $x$. We need $\frac{x}{8}=\frac{1}{4}$. Cross - multiply: $4x = 8$. Solve for $x$: $x=\frac{8}{4}=2$.

Answer:

D. 2