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homework a.2.1 score: 6/13 answered: 7/13 question 8 if one circle repr…

Question

homework a.2.1
score: 6/13 answered: 7/13
question 8
if one circle represents \one whole\, what fraction of area is shaded blue? give your answer as a mixed number.
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Explanation:

Step1: Count total parts

Each circle is divided into 6 parts. There are 3 circles, so total parts = 3×6 = 18.

Step2: Count shaded parts

The first circle has 6 shaded parts, the second has 6 shaded parts and the third has 1 shaded part. So total shaded parts = 6 + 6+ 1=13.

Step3: Write as fraction

The fraction of shaded area is $\frac{13}{18}$. But we need a mixed - number. Since $13\div6 = 2$ with a remainder of 1, the mixed - number is $2\frac{1}{6}$.

Answer:

$2\frac{1}{6}$