Question

question assume that each circle shown below represents one unit. express the shaded amount as a single fraction and as a mixed number. answer attempt 2 out of 2 one fraction: mixed number:

Explanation:

Step1: Determine the number of equal - parts in one circle

Each circle is divided into 8 equal parts.

Step2: Count the total number of shaded parts

The first two circles are fully shaded (2 * 8 = 16 parts) and the third circle has 2 shaded parts. So the total number of shaded parts is 16+2 = 18 parts.

Step3: Express as a single fraction

The single - fraction is $\frac{18}{8}$.

Step4: Simplify the fraction

$\frac{18}{8}=\frac{9}{4}$ (dividing both numerator and denominator by 2).

Step5: Express as a mixed number

$9\div4 = 2$ with a remainder of 1. So the mixed number is $2\frac{1}{4}$.

Answer:

One Fraction: $\frac{9}{4}$
Mixed Number: $2\frac{1}{4}$