Question

question 3 of 60
the circle below is cut into 9 equal slices.
what fraction of the circle is shaded?
question 4 of 60
write ( 1\frac{3}{5} ) as an improper fraction.
question 5 of 60
write ( \frac{22}{7} ) as a mixed number.
______
question 6 of 60
each circle counts as one whole.
write a mixed number giving the amount shaded.
then, write this amount as an improper fraction.

Explanation:

Question 3

Step1: Identify total and shaded slices

Total slices = 9, Shaded slices = 4 (1 small + 3 large shaded).

Step2: Form the fraction

Fraction = $\frac{\text{Shaded}}{\text{Total}} = \frac{4}{9}$

Step1: Recall improper fraction formula

For $a\frac{b}{c}$, improper fraction is $\frac{a\times c + b}{c}$.

Step2: Apply the formula

$1\frac{3}{5} = \frac{1\times5 + 3}{5} = \frac{8}{5}$

Step1: Divide numerator by denominator

22 ÷ 7 = 3 with a remainder of 1 (since 7×3 = 21, 22 - 21 = 1).

Step2: Form mixed number

Mixed number = $3\frac{1}{7}$ (quotient + $\frac{\text{remainder}}{\text{denominator}}$)

Answer:

$\frac{4}{9}$

Question 4