Question

a. the fraction representing the shaded portion as part of the whole is (type an integer or a simplified fraction.)
$\frac{1}{10}$

b. the fraction representing the shaded portion as part of the whole is (type an integer or a simplified fraction.)
$\frac{1}{6}$

c. the fraction representing the shaded portion as part of the whole is (type an integer or a simplified fraction.)
box

images of figures for a, b, c below the text descriptions

Explanation:

Step1: Analyze the circle graph

The circle is divided into 4 equal parts (since there are 4 sectors, 2 shaded and 2 unshaded? Wait, no, looking at the diagram, the circle has 4 equal regions, and 2 of them are shaded? Wait, no, the diagram shows a circle with 4 equal parts (like a cross dividing into 4), and 2 of the 4 parts are shaded? Wait, no, let's count again. The circle is divided into 4 equal sectors (each 90 degrees). The shaded parts: looking at the diagram, the right half (two sectors) are shaded. So total parts = 4, shaded parts = 2. Wait, no, maybe I miscounted. Wait, the circle is divided into 4 equal parts (4 sectors), and 2 of them are shaded? Wait, no, the diagram: the circle has 4 regions, 2 shaded (the right two). So fraction is shaded parts / total parts = 2/4? Wait, no, wait the diagram: let's see, the circle is divided into 4 equal parts (like a plus sign, 4 quadrants). The shaded area is 2 quadrants? Wait, no, maybe it's 2 out of 4? Wait, no, the user's diagram: the circle has 4 equal parts, and 2 are shaded? Wait, no, maybe I made a mistake. Wait, the problem is part c: the fraction representing the shaded portion as part of the whole. Let's look at the circle: it's divided into 4 equal parts (4 sectors), and 2 of them are shaded? Wait, no, the diagram shows the circle with 4 parts, 2 shaded (the right two). So total parts = 4, shaded parts = 2. Simplify 2/4 = 1/2? Wait, no, wait the circle: maybe it's 2 out of 4? Wait, no, let's check again. The circle is divided into 4 equal regions (4 quadrants), and 2 are shaded. So fraction is 2/4 = 1/2? Wait, no, maybe I miscounted. Wait, the diagram: the circle has 4 parts, 2 shaded. So 2/4 simplifies to 1/2? Wait, no, wait the user's diagram: the circle is divided into 4 equal parts, and 2 are shaded. So shaded parts = 2, total parts = 4. So 2/4 = 1/2. Wait, but maybe I made a mistake. Wait, let's see: the circle is divided into 4 equal sectors, and 2 are shaded. So fraction is 2/4 = 1/2.

Step2: Simplify the fraction

The fraction of shaded parts is 2/4, which simplifies to 1/2 (dividing numerator and denominator by 2).

Answer:

$\frac{1}{2}$