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Television

publish date2023/09/09 01:23:00 GMT+10

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The 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.

Missing Word

Correct Answer

60%

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


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