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Chapter 6: Problem 25

Find percent notation. $$ \frac{1}{20} $$

Short Answer

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Step by step solution

01

Convert Fraction to Decimal

First, convert the fraction \(\frac{1}{20}\) to a decimal format. Divide the numerator by the denominator: \( \frac{1}{20} \) = 0.05.
02

Convert Decimal to Percentage

To convert the decimal to a percentage, multiply the decimal by 100. \(0.05 \times 100 = 5\).
03

Write the Result as a Percentage

Finally, write the result followed by the percent sign: 5%.

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Key Concepts

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

Fraction Conversion
To start converting a fraction to a percent, you first need to convert it to a decimal. Let's use \(\frac{1}{20}\) as our example. A fraction consists of a numerator (top number) and a denominator (bottom number). To turn it into a decimal, divide the numerator by the denominator.

In this case, divide 1 by 20:
\(\frac{1}{20} = 0.05\).

Remember:
  • Use a calculator if needed.
  • Always ensure the division is accurate to get the correct decimal.
Decimal to Percentage
After converting the fraction to a decimal, the next step is to transform the decimal into a percentage. A percentage represents a number out of 100. Therefore, you need to multiply the decimal by 100. For our example, 0.05:
0.05 \(\times 100 = 5\).

This multiplication shifts the decimal point two places to the right. In other words, 0.05 becomes 5.0, which is simply 5.

Key tips:
  • Always multiply the decimal by 100 to convert to a percentage.
  • Move the decimal point two places to the right for quick mental calculations.
Mathematical Steps
Converting fractions to percentages involves clear, simple mathematical steps. Here's a recap using our example of \(\frac{1}{20}\):

1. **Convert to Decimal**: Divide the numerator by the denominator to get 0.05.
2. **Convert to Percentage**: Multiply the decimal by 100, resulting in 5.
3. **Write as Percentage**: Add the percent sign to write 5%.

These steps ensure accuracy and make the process straightforward:
  • Always begin by simplifying the fraction, if possible.
  • Follow through with the conversion steps methodically.
  • Double-check your work to avoid mistakes.

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Most popular questions from this chapter

Simplify: \((12-3)^{2}-9+5^{2}\)

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