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 (\frac{1}{8}).
(type an integer or a simplified fraction.)

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

Explanation:

Step1: Count total and shaded parts

The figure for part b has a total of 8 equal - sized small rectangles (let's assume each small rectangle is a unit part of the whole). And the number of shaded parts is 1.

Step2: Form the fraction

The fraction representing the shaded portion as part of the whole is calculated by the formula $\frac{\text{Number of shaded parts}}{\text{Total number of parts}}$. So, substituting the number of shaded parts (1) and total number of parts (8), we get the fraction $\frac{1}{8}$? Wait, no, wait. Wait, looking at the figure again. Wait, maybe I miscounted. Wait, the left - hand figure for part b: let's count the total number of squares. Let's see, there are 2 columns. The first column has 4 squares, the second column has 4 squares. So total number of squares is $4 + 4=8$. The shaded square is 1. So the fraction is $\frac{1}{\text{total number of squares}}=\frac{1}{8}$? Wait, no, maybe the figure is different. Wait, no, maybe I made a mistake. Wait, let's look again. The figure for part b: let's count the total number of equal - area regions. Let's see, the shape is divided into 8 equal - sized small rectangles (or squares). And the shaded region is 1. So the fraction is $\frac{1}{8}$? Wait, no, wait the first figure (part a) had a fraction of $\frac{1}{8}$, but part b's figure: let's count again. Wait, maybe the total number of parts is 8? Wait, no, maybe the total number of parts is 8, and shaded is 1. So the fraction is $\frac{1}{8}$? Wait, no, maybe I am wrong. Wait, let's check the figure again. The figure for part b: there are 8 small squares (4 in each column, 2 columns). Shaded is 1. So the fraction is $\frac{1}{8}$? Wait, no, maybe the total number of parts is 8, so the fraction is $\frac{1}{8}$. Wait, but maybe I miscounted. Wait, let's count the total number of squares: first column: 4 squares, second column: 4 squares. Total: 8. Shaded: 1. So the fraction is $\frac{1}{8}$. Wait, but the problem says "simplified fraction" or integer. So the fraction is $\frac{1}{8}$.

Answer:

$\frac{1}{8}$