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Chapter 6: Problem 27

Find percent notation. $$ \frac{17}{50} $$

Short Answer

Expert verified
34%

Step by step solution

01

- Understand the fraction

Identify the fraction given in the exercise. Here it is given as \( \frac{17}{50} \).
02

- Convert the fraction to a decimal

Divide the numerator by the denominator: \( \frac{17}{50} = 0.34 \). This converts the fraction into a decimal form.
03

- Convert the decimal to a percentage

Multiply the decimal by 100 to convert it to percentage form: \( 0.34 \times 100 = 34 \% \).

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Key Concepts

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

Fraction to Decimal Conversion
To convert a fraction into a decimal, you need to divide the numerator (the top number) by the denominator (the bottom number). For example, let's take the fraction \(\frac{17}{50}\). When you divide 17 by 50, you get 0.34. Here are some tips and steps:
  • Ensure you understand the terms: numerator and denominator.
  • Use long division if the division isn't straightforward.
  • The result will be a decimal number.
Understanding this process is crucial because it forms the basis for converting any fraction into decimal form. So, practice different fractions to get comfortable with the method.
Decimal to Percentage Conversion
Once you鈥檝e converted a fraction to a decimal, the next step is to convert that decimal into a percentage. This is done by multiplying the decimal by 100. For instance, we have 0.34 from our previous step. To convert this into a percentage, you multiply it by 100: 0.34 \(\times100 = 34\)%. Here are some simple steps to remember:
  • Take your decimal number.
  • Multiply it by 100.
  • Append the percentage symbol (%) to the result.
This method works for any decimal number. Remember, converting to a percentage helps in visualizing the number in terms of 'parts per hundred,' making it easier to understand and compare.
Basic Mathematics
Basic mathematics is the foundation upon which advanced math builds. Understanding fractions, decimals, and percentages are crucial concepts. They often appear in real-life scenarios like finance, statistics, and even everyday shopping. Here are some key points:
  • Fractions represent a part of a whole.
  • Decimals are another way to represent fractions in base-10.
  • Percentages are a way to represent fractions as parts of 100.
These basic ideas are interconnected. For example, knowing how to convert fractions to decimals and then to percentages can simplify complex math problems. Practicing these conversions can strengthen your overall math skills.

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Most popular questions from this chapter

A 300-lb weight set retails for $$\$ 199.95 .$$ For its grand opening, a sporting goods store reduced the price to $$\$ 154.95 .$$ What is the percent decrease?

Find the prime factorization of 228 .

On a test, Maj Ling got \(86 \%,\) or \(81.7,\) of the items correct. (There was partial credit on some items.) How many items were on the test?

Divide and simplify. $$ \frac{16}{105} \div \frac{5}{14} $$

Solve. A couple invests \(\$ 1200\) in an account paying \(10 \%\), compounded quarterly. How much is in the account after 1 year?
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