Television
publish date: 2023/09/09 01:23:00 GMT+10
volume_muteThe highest-rated television show of all time was a special episode of M*A*S*H that aired February 28, 1983. Surveys found that three out of every five American households watched this show. Express the rating as a percent.
Correct Answer
Explanation
First, we will translate the phrase three out of every five to fraction form and write that fraction as a decimal. Then we will write that decimal as a percent. A fraction-to-decimal-to-percent approach must be used to write a fraction as a percent.
Solution
Step 1 The phrase three out of every five can be expressed as a \(\frac35\). To write this fraction as a decimal, we divide the numerator, 3, by the denominator, 5.
Write a decimal point and one additional zero to the right of 3.
- 3 / 5 = 0.6
Step 2 To write 0.6 as a percent, we proceed as follows
\(\frac35 = 0.6\)
Write a placeholder O to the right of the 6 (shown in blue). Multiply 0.60 by 100 by moving the decimal point 2 places to the right and then insert a % symbol.
0.6 = 060.% = 60%
60% of American households watched the special episode of M*A*S*H.
Reference
Mathematics for college students