Question

each circle counts as one whole. write a mixed number giving the amount shaded. then, write this amount as an improper fraction. (a) mixed number: (b) improper fraction:

Explanation:

Step1: Analyze the shaded circles

The first circle is fully shaded (1 whole), the second circle is divided into 5 parts, with 4 parts shaded. So the mixed number has a whole number part 1 and a fraction part $\frac{4}{5}$, making the mixed number $1\frac{4}{5}$.

Step2: Convert mixed number to improper fraction

To convert $1\frac{4}{5}$ to an improper fraction, use the formula: $a\frac{b}{c}=\frac{a\times c + b}{c}$. Here, $a = 1$, $b = 4$, $c = 5$. So $\frac{1\times5 + 4}{5}=\frac{5 + 4}{5}=\frac{9}{5}$.

Answer:

(a) Mixed number: $1\frac{4}{5}$
(b) Improper fraction: $\frac{9}{5}$