Question

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

Explanation:

Step1: Determine the fraction of each circle

Each circle is divided into 10 equal parts. The first three circles are fully shaded, so each represents $\frac{10}{10}$. The fourth circle has 6 shaded parts, so it represents $\frac{6}{10}$.

Step2: Calculate the single fraction

The total shaded parts: $3\times10 + 6=36$. The total number of parts per circle (since we consider the unit as per - circle division) is 10. So the single fraction is $\frac{36}{10}$.

Step3: Simplify the single fraction

$\frac{36}{10}=\frac{18}{5}$ (dividing numerator and denominator by 2).

Step4: Calculate the mixed number

Divide 18 by 5: $18\div5 = 3$ with a remainder of 3. So the mixed number is $3\frac{3}{5}$.

Answer:

One Fraction: $\frac{18}{5}$; Mixed Number: $3\frac{3}{5}$