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Chapter 7: Problem 7

Convert the fraction to a percent. $$\frac{1}{100}$$

Short Answer

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Step by step solution

01

Understand the Conversion

To convert a fraction to a percent, you need to multiply the fraction by 100 and add the percent sign (%) at the end.
02

Multiply the Fraction by 100

Multiply \(\frac{1}{100} \) by 100: \(\frac{1}{100} \times 100 = 1\)
03

Append the Percent Sign

After multiplying by 100, the result is 1. Now, append the percent sign (%) to get 1%.

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Key Concepts

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

Fraction to Percent Conversion
Converting a fraction to a percent might sound complicated, but it's actually quite straightforward. To convert any fraction to a percent, you simply need to multiply the fraction by 100. This effectively changes the fraction into a number out of 100, which is the basis for percent values. The last step is then to add the percent sign (%) to indicate the conversion.
Multiplying Fractions
Multiplying fractions is a key skill in math. To multiply a fraction by a whole number, you multiply the numerator (the top number) of the fraction by the whole number while keeping the denominator (the bottom number) the same. For example, if you multiply \( \frac{1}{4} \times 4 \), you multiply the numerator 1 by 4 to get 4. The unchanged denominator is 4, so the result is \( \frac{4}{4} \), which simplifies to 1.

In our exercise, we needed to multiply \( \frac{1}{100} \times 100 \). This gave us a numerator of 1 (since 1 multiplied by 100 is 100) and a denominator of 1, so we got a whole number 1.
Percent Sign
The percent sign (%) is a symbol used in mathematics to denote a percentage, which is a number or ratio expressed as a fraction of 100. For instance, 1% is equivalent to the fraction \( \frac{1}{100} \) or the decimal 0.01.

Understanding the percent sign is crucial as it appears frequently in various fields, such as statistics, finance, and everyday scenarios like discounts and interest rates. After converting the fraction by multiplying it by 100, the very last step involves appending this percent sign to the result to indicate that the number is now a percentage.

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Most popular questions from this chapter

Write the fraction in percent notation to the nearest tenth of a percent. $$\frac{1}{13}$$

Which of the numbers represent \(30 \% ?\) a. \(\frac{3}{10}\) b. \(\frac{1}{3}\) c. 0.3 d. \(0.03 \%\)

Convert the decimal to a percent. $$1.014$$

The human body is \(65 \%\) water. Mrs. Wright weighed 180 lb. After 1 year on a diet, her weight decreased by \(15 \%\). a. Before the diet, how much of Mrs. Wright's weight was water? b. After the dict, how much of Mrs. Wright's weight was water?

Convert the decimal to a percent. $$0.277$$
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