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 5 equal parts. There are 2 full - shaded circles (which is 2 wholes) and 3 shaded parts in the third circle. So the mixed number is \(2\frac{3}{5}\).

Step2: Convert the mixed number to an improper fraction

Use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). Here \(a = 2\), \(b=3\), \(c = 5\). Then \(\frac{2\times5+3}{5}=\frac{10 + 3}{5}=\frac{13}{5}\)

Answer:

(a) Mixed number: \(2\frac{3}{5}\)
(b) Improper fraction: \(\frac{13}{5}\)