Question

each circle counts as one whole. write a mixed number giving the amount shaded. then, write this amount as an improper fraction.

Explanation:

Step1: Count whole and fractional parts

There are \(1\) whole circle (fully shaded) and \(\frac{1}{2}\) of another circle shaded. So the mixed number is \(1\frac{1}{2}\).

Step2: Convert mixed number to improper fraction

Use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). Here \(a = 1\), \(b=1\), \(c = 2\). Then \(\frac{1\times2+1}{2}=\frac{2 + 1}{2}=\frac{3}{2}\).

Answer:

(a) \(1\frac{1}{2}\)
(b) \(\frac{3}{2}\)