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Chapter 6: Problem 24

Find percent notation. $$ \frac{17}{25} $$

Short Answer

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Step by step solution

01

Understand Percent Notation

To convert a fraction to percent notation, you multiply it by 100.
02

Multiply the Fraction by 100

Multiply the fraction \( \frac{17}{25} \) by 100: \[ \frac{17}{25} \times 100 \].
03

Simplify the Expression

Perform the multiplication: \[ \frac{17}{25} \times 100 = 68 \].
04

Write the Answer in Percent Notation

The result from the previous step is 68, so \( \frac{17}{25} \) in percent notation is 68%.

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Key Concepts

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

Fraction to Percent
Converting a fraction to a percent helps you understand it in terms of 100 parts. To convert a fraction to a percent, we multiply it by 100. This is because percent means per hundred.
For example, if you have the fraction \( \frac{17}{25} \), you multiply it by 100, as shown in the following step.
Multiplication
Next, we need to multiply the fraction by 100. This step is necessary for the conversion. Here's the multiplication step-by-step:
  • Multiply the numerator (top number) of the fraction by 100.
  • Keep the denominator (bottom number) as it is.

So, in our example, multiply 17 by 100 to get 1700: \[ \frac{17}{25} \times 100 = \frac{1700}{25} \]
Simplification
After performing the multiplication, the next step is to simplify the fraction. Simplification is the process of dividing the numerator by the denominator to get a whole number or a simpler fraction.
For our example: \[ \frac{1700}{25} \]
  • Divide 1700 by 25.
  • Performing the division gives 68.

This means \( \frac{1700}{25} = 68 \).
Conversion
Finally, we write the simplified expression in percent notation. Since we multiplied the original fraction by 100, the final value represents a percentage.
In our example:
  • We found that \( \frac{1700}{25} = 68 \).
  • So, \( \frac{17}{25} \) in percent notation is 68%.
Remember, converting fractions to percent helps in comparing easily as it scales the fraction to a common ground: parts per hundred.

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Most popular questions from this chapter

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