Question

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assume that each circle shown below represents one unit. express the shaded amount as an improper fraction and as a mixed number.
answer
fraction:
mixed number:

Explanation:

Step1: Determine parts per circle

Each circle is divided into 8 equal parts. So denominator for fraction is 8.

Step2: Count shaded parts

First two circles are fully shaded: \(2 \times 8 = 16\) parts. Third circle has 7 shaded parts. Total shaded: \(16 + 7 = 23\) parts.

Step3: Improper fraction

Improper fraction is \(\frac{23}{8}\) (total shaded parts over parts per circle).

Step4: Mixed number

Divide 23 by 8: \(23 \div 8 = 2\) with remainder 7. So mixed number is \(2\frac{7}{8}\).

Answer:

Improper Fraction: \(\frac{23}{8}\)
Mixed Number: \(2\frac{7}{8}\)