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 the shaded circles

There are 2 full circles (each is 1 whole) and a third circle with 3 out of 4 parts shaded. So the whole number part of the mixed number is 2, and the fraction part is $\frac{3}{4}$.

Step2: Write the mixed number

Combining the whole number and the fraction, the mixed number is $2\frac{3}{4}$.

Step3: Convert mixed number to improper fraction

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

Answer:

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