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Chapter 7: Problem 94

Write the fraction as a percent. In a recent year, \(\frac{2}{3}\) of the beds in U.S. hospitals were occupied.

Short Answer

Expert verified
66.67%

Step by step solution

01

- Understanding the question

The question requires converting the fraction \(\frac{2}{3}\) into a percent. Percent means per hundred (out of 100).
02

- Convert the fraction to a decimal

To convert \(\frac{2}{3}\) to a decimal, divide the numerator by the denominator: \(2 \div 3 = 0.6667\) (rounded to four decimal places).
03

- Convert the decimal to a percent

To convert the decimal number to a percent, multiply by 100 and add the percent symbol: \(0.6667 \times 100 = 66.67\)\text{%}.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Fraction Conversion
Fractions represent parts of a whole. To convert a fraction like \(\frac{2}{3}\) to a decimal, we divide the numerator (top number) by the denominator (bottom number). This result can then be used to further convert it to a percent. In our example, \(2 \div 3 = 0.6667\), rounded to four decimal places. This is our decimal form of the fraction.\
Here's a quick overview to help you remember:
  • Numerator: The top part of the fraction.
  • Denominator: The bottom part of the fraction.
  • Convert by dividing: Numerator \div Denominator.
Decimal Conversion
Decimals are another way to represent fractions, but using base 10. When you have a fraction, converting it to a decimal makes other transformations, like getting a percentage, easier. When we transformed \(\frac{2}{3}\) into 0.6667 by division, it gave us a form that we can more easily manipulate for further math operations like multiplication or addition.\
When reading decimals:
  • The left-most digit represents units or 'ones'.
  • The first digit to the right of the decimal point represents tenths.
  • The second digit to the right represents hundredths, and so on.
Understanding these basic units helps in manipulating and converting the numbers further.
Percentage Conversion
A percentage represents a number out of 100. Converting a decimal to a percentage involves multiplying by 100 and adding the percent symbol.\
For example, looking at our decimal \(0.6667\), we can find the percentage by performing the multiplication: \(0.6667 \times 100 = 66.67\)\%. Therefore, \(\frac{2}{3}\) of hospital beds means 66.67\text{%} were occupied.\
Here's a quick rule to follow for any decimal-to-percent conversion:
  • Take your decimal number (e.g., 0.6667).
  • Multiply by 100.
  • Attach the percent symbol at the end.
This simple method will always help you convert decimals to percentages accurately.

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Most popular questions from this chapter

Write the percent equation. Then solve for the unknown percent. Round to the nearest tenth of a percent if necessary. Of the 8079 Americans serving in the Peace Corps for a recent year, 406 were over 50 years old. What percent is this? Round to the nearest whole percent.

Carson had 600 dollar and spent \(44 \%\) of it on clothes. Then he spent \(20 \%\) of the remaining money on dinner. How much did he spend altogether?

Solve the problem using a percent equation. What percent of 25 is \(18 ?\)

For a recent year, 6 hurricanes struck the United States coastline out of 16 named storms to make landfall. What percent does this represent?

Convert the decimal to a percent. $$0.006$$
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