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: Analyze shaded circles

First, identify the number of fully shaded circles and the fraction of the partially shaded circle. There are 2 fully shaded circles (each is 1 whole) and the third circle is divided into 4 parts, with 3 parts shaded. So the mixed number has a whole number part of 2 and a fractional part of $\frac{3}{4}$.
Mixed number: $2\frac{3}{4}$

Step2: Convert mixed number to improper fraction

To convert a mixed number $a\frac{b}{c}$ to an improper fraction, use the formula $\frac{a\times c + b}{c}$. Here, $a = 2$, $b = 3$, $c = 4$. So calculate $2\times4 + 3 = 8 + 3 = 11$. The improper fraction is $\frac{11}{4}$.

Answer:

(a) Mixed number: $2\frac{3}{4}$
(b) Improper fraction: $\frac{11}{4}$