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

There are 2 circles. One circle is fully shaded (1 whole) and the other circle has 1 out of 2 parts shaded ($\frac{1}{2}$). So the mixed number is $1+\frac{1}{2}=1\frac{1}{2}$.

Step2: Convert to an improper fraction

To convert the mixed number $1\frac{1}{2}$ to an 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) Mixed number: $1\frac{1}{2}$
(b) Improper fraction: $\frac{3}{2}$