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: Determine the mixed number

Each circle is divided into 3 equal parts. There are 3 fully - shaded circles (which is 3 wholes) and 2 shaded parts in the fourth circle. So the mixed number is \(3\frac{2}{3}\).

Step2: Convert the mixed number to an improper fraction

Use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). Here \(a = 3\), \(b=2\), \(c = 3\). Then \(\frac{3\times3+2}{3}=\frac{9 + 2}{3}=\frac{11}{3}\)

Answer:

(a) Mixed number: \(3\frac{2}{3}\)
(b) Improper fraction: \(\frac{11}{3}\)