Question

for parts (a) through (d), write a fraction to approximate the shaded portion as part of the whole.

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

Explanation:

Step1: Analyze the whole

The whole figure can be considered as having 10 equal parts? Wait, no, let's look at the diagram. The left part is a rectangle, and the right part is divided into 5 small rectangles. Wait, actually, maybe the whole is made by combining the left rectangle (which is equal in height to the right 5 - part rectangle) and the right 5 - part? Wait, no, looking at the diagram, the left rectangle is as tall as the right 5 - small - rectangles. Wait, maybe the whole is divided into 10 equal parts? Wait, no, let's count the shaded part. The shaded part is 1 small rectangle. Now, let's see the whole: the left rectangle is equal to 5 of the small right rectangles (since the right has 5 small, and the left is same height). So total parts: left (5 parts) + right (5 parts) = 10 parts? Wait, no, the left rectangle is 1 big part, and the right is 5 small parts. Wait, maybe the whole is divided into 10 equal - sized small rectangles? Wait, no, the left rectangle is equal in area to 5 small right rectangles (since the right has 5, and left is same height and width as 5 small? Wait, no, the right side is divided into 5 vertical small rectangles, and the left is a single rectangle with width equal to the width of 5 small? No, maybe the whole is 10 parts? Wait, no, let's re - examine. The right side has 5 small rectangles, and the left side is a rectangle that is equal in height to the right 5, and width equal to the width of the right 5? No, maybe the whole is made by 10 equal - sized units. Wait, the shaded part is 1. Wait, no, let's think again. The left rectangle is 5 units (since right has 5), so total whole is 5 (left) + 5 (right) = 10. The shaded is 1. So fraction is $\frac{1}{10}$? Wait, no, maybe the left is 1 part and right is 5 parts, but the left is equal to 5 of the right's small parts. So total parts: 5 (left as 5 small) + 5 (right) = 10. Shaded is 1. So fraction is $\frac{1}{10}$. Wait, but maybe the whole is divided into 10 equal parts, and 1 is shaded. So the fraction is $\frac{1}{10}$. Wait, let's check again. The diagram: left is a big rectangle, right is 5 small rectangles (stacked vertically). The shaded is 1 of the 5 right small rectangles. But the left big rectangle is equal in area to the 5 right small rectangles (since same height, and width of left is equal to width of 5 right small? No, maybe the left is 5 times the width of a small right rectangle. So total area: left (5 small) + right (5 small) = 10 small. Shaded is 1 small. So fraction is $\frac{1}{10}$.

Step2: Confirm the fraction

So the number of shaded parts is 1, total parts is 10. So the fraction is $\frac{1}{10}$.

Answer:

$\frac{1}{10}$