Question

a hospital study of 1369 heart - attack patients found that 3 out of 8 quit taking the life - saving drugs prescribed to them. (a) what fraction stopped taking their medicine? (b) convert this fraction to a decimal. (c) how many patients in the study quit taking their medicine? (a) the fraction of the patients who stopped taking their medicine is \square. (b) the fraction of patients who stopped taking their medicine is written in decimal form as \square. (c) the number of patients in the study who quit taking their medicine is approximately \square. (round to the nearest whole number as needed.)

Explanation:

Part (a)

Step1: Identify the fraction

The problem states that 3 out of 8 patients quit taking their medicine. So the fraction is the number of patients who quit (3) divided by the total number in the group (8).
\( \frac{3}{8} \)

Step1: Convert fraction to decimal

To convert \( \frac{3}{8} \) to a decimal, divide 3 by 8.
\( 3 \div 8 = 0.375 \)

Step1: Find the number of patients

First, we know the fraction of patients who quit is \( \frac{3}{8} \), and the total number of patients in the study is 1369. So we multiply the total number of patients by the fraction.
\( 1369 \times \frac{3}{8} = \frac{1369\times3}{8} = \frac{4107}{8} = 513.375 \)

Step2: Round to the nearest whole number

Rounding 513.375 to the nearest whole number gives 513.

Answer:

\( \frac{3}{8} \)

Part (b)