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Chapter 8: Problem 60

Convert to percent notation. \(\frac{2}{25}\)

Short Answer

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Step by step solution

01

Understand the Fraction

Recognize that the given number is a fraction: \(\frac{2}{25}\)
02

Convert Fraction to Decimal

Divide the numerator by the denominator: \(\frac{2}{25} = 0.08\)
03

Convert Decimal to Percent

Multiply the decimal by 100 to convert it to a percent: \(0.08 \times 100 = 8\text{\text{%\text}}\)

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Key Concepts

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

Fraction to Percent
To convert a fraction to a percent, we follow a few easy steps. Let's take the fraction \(\frac{2}{25}\) as an example.
First, recognize that fractions are just numbers in the form of \( \frac{a}{b} \), where 'a' is the numerator and 'b' is the denominator.
For the fraction \( \frac{2}{25} \), the numerator is 2, and the denominator is 25.
Percent means per hundred, so when converting a fraction to a percent, you are essentially finding out how much out of 100 it represents.
Decimal Conversion
To turn our fraction \( \frac{2}{25} \) into a decimal, divide the numerator by the denominator.
So, \( \frac{2}{25} = 0.08 \).
This step is crucial for understanding the next part, converting the decimal into a percent.
You can use either a calculator or long division for this step:
  • On a calculator, simply input 2 梅 25 and press enter.
  • Long division can also be used if a calculator is not available.
Mathematical Conversion Steps
Once we have the decimal, converting it into a percent is straightforward.
Simply multiply the decimal by 100: \( 0.08 \times 100 = 8 \).
This means \( \frac{2}{25} \) is equivalent to 8%.
Remember, multiplying by 100 essentially shifts the decimal point two places to the right, converting our decimal to a percent.
Whenever you are converting fractions to percent, follow these easy steps:
  • Identify the fraction.
  • Convert the fraction into a decimal by dividing the numerator by the denominator.
  • Multiply the decimal by 100 to get the percent.
This method ensures accuracy and helps in grasping the connection between fractions, decimals, and percents.

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