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Chapter 6: Problem 355

In the following exercises, convert each fraction to a percent. $$ \frac{11}{5} $$

Short Answer

Expert verified
220%

Step by step solution

01

- Understand the fraction

The fraction given is \( \frac{11}{5} \). To convert this fraction to a percent, we'll need to follow a couple of steps.
02

- Divide the numerator by the denominator

To convert the fraction to a decimal, divide the numerator (11) by the denominator (5). So, \( 11 梅 5 = 2.2 \).
03

- Convert the decimal to a percent

Multiply the decimal obtained by 100 to find the percent value. Thus, 2.2 脳 100 = 220%.

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Key Concepts

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

Numerator and Denominator
In any fraction, you'll encounter two main parts: the numerator and the denominator. The numerator is the top number, while the denominator is the bottom number. For example, in the fraction \( \frac{11}{5} \), 11 is the numerator and 5 is the denominator. The numerator represents how many parts we have, whereas the denominator tells us the total number of parts that make up a whole. Understanding these terms is crucial because they guide us on how to perform operations like division to convert fractions into decimals or percentages. By mastering the roles of the numerator and denominator, you'll find it easier to tackle various fraction problems.
Division
Division is a fundamental math operation where you split a number into equal parts. When converting a fraction to a decimal, you'll divide the numerator by the denominator. In our example, we need to divide 11 by 5. You can do this manually or using a calculator. Here's how it works: \( 11 梅 5 = 2.2 \). This result, 2.2, is our decimal representation of the fraction \( \frac{11}{5} \). Dividing the numerator by the denominator lets you turn any fraction into a form that's often easier to work with, such as a decimal or a percentage.
Decimal to Percent Conversion
Once you have a decimal, converting it to a percentage is straightforward. To do this, you'll multiply the decimal by 100. This is because 'percent' means 'per hundred'. For instance, if you have 2.2 as your decimal, multiplying it by 100 gives you 220. Therefore, \( 2.2 脳 100 = 220\). So, the fraction \( \frac{11}{5} \) is equal to 220% as a percentage. This step is essential because it allows you to understand and communicate the value in a format that's widely used and easily understandable.

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Most popular questions from this chapter

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