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 circles

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

Step2: Convert mixed number to improper fraction

To convert $1\frac{1}{5}$ to improper fraction, use the formula: whole number $\times$ denominator + numerator over denominator. So $1\times5 + 1 = 6$, so improper fraction is $\frac{6}{5}$.

Answer:

(a) Mixed number: $1\frac{1}{5}$
(b) Improper fraction: $\frac{6}{5}$