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: $3\frac{3}{5}$ (b) improper fraction: $\frac{18}{5}$ try again

Explanation:

Step1: Determine the mixed number

There are 3 whole circles (each circle is divided into 5 equal parts) and 2 - shaded parts in the fourth circle. So the mixed number is \(3\frac{2}{5}\).

Step2: Convert the mixed number to an improper fraction

Use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). Here \(a = 3\), \(b=2\), \(c = 5\). Then \(\frac{3\times5+2}{5}=\frac{15 + 2}{5}=\frac{17}{5}\)

Answer:

(a) Mixed number: \(3\frac{2}{5}\)
(b) Improper fraction: \(\frac{17}{5}\)