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: Count whole circles and parts

There are 3 whole circles (each circle is divided into 5 equal parts). The fourth circle has 3 shaded parts out of 5. So the mixed number is \(3\frac{3}{5}\).

Step2: Convert mixed number to improper fraction

Use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). Here \(a = 3\), \(b=3\), \(c = 5\). Then \(\frac{3\times5+3}{5}=\frac{15 + 3}{5}=\frac{18}{5}\).

Answer:

(a) Mixed number: \(3\frac{3}{5}\)
(b) Improper fraction: \(\frac{18}{5}\)