/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 12 Find percent notation. $$ \f... [FREE SOLUTION] | 91影视

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Chapter 6: Problem 12

Find percent notation. $$ \frac{1}{8} $$

Short Answer

Expert verified
12.5%

Step by step solution

01

Convert Fraction to Decimal

First, convert the fraction \( \frac{1}{8} \) to a decimal by dividing the numerator (1) by the denominator (8). \(\frac{1}{8} = 0.125 \).
02

Convert Decimal to Percentage

Next, convert the decimal value to a percentage by multiplying it by 100. \(0.125 \times 100 = 12.5 \).
03

Write the Percent Notation

Finally, express the result from the previous step in percent notation. The percent notation of \(\frac{1}{8} \) is 12.5%.

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Key Concepts

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

Fractions to Decimals
Understanding how to convert from fractions to decimals is essential in math. A fraction like \( \frac{1}{8} \) is a way of expressing numbers that are not whole. The numerator (the top number) is divided by the denominator (the bottom number).

For example, in the fraction \( \frac{1}{8} \), divide 1 by 8. This can be done using long division or a calculator.

The conversion would be: \( \frac{1}{8} = 0.125 \).

This decimal value is an equivalent way of representing the fraction. Practice this with different fractions to improve your understanding.
Decimal to Percentage
Decimals can easily be converted to percentages. When we want to change a decimal like 0.125 to a percentage, we multiply by 100.

So, the calculation is: \(0.125 \times 100 = 12.5\).

This is because 100% is the equivalent of 1 as a decimal. By multiplying, we are scaling the decimal to a percentage that people can easily understand.

Remember, moving the decimal point two places to the right is like multiplying by 100. 0.125 becomes 12.5%. This is why 12.5% is the percent notation for \( \frac{1}{8} \).
Mathematical Conversion Steps
Mathematical conversions involve specific steps to change numbers from one form to another. Here, we'll review the steps to convert a fraction to a percentage.

  • Start by converting the fraction to a decimal by dividing the numerator by the denominator. For example, \( \frac{1}{8} \) becomes 0.125.
  • Then, convert the decimal to a percentage by multiplying by 100. So, 0.125 becomes 12.5.
  • Finally, write the result as percent notation. Thus, \( \frac{1}{8} \) is 12.5%.


Following these steps ensures accuracy and understanding in converting between fractions, decimals, and percentages.

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Most popular questions from this chapter

Solve. The sales tax rate in Pittsburgh, Pennsylvania, is \(1 \%\) for Allegheny County plus \(6 \%\) for the state. Find the total amount paid for 5 NFL tickets at \(\$ 266\) each.

The Arctic sea surface freezes in the winter, but the part of it that melts in the summer is increasing. In 1979,2,780,000 square miles of the Arctic sea were still ice-covered in September. Only 1,820,000 square miles were still ice-covered in September \(2016 .\) What was the percent decrease?

Solve. $$ \frac{7}{2}=\frac{11}{x} $$

A person on a diet goes from a weight of \(160 \mathrm{lb}\) to a weight of \(136 \mathrm{lb}\). What is the percent decrease?

Solve. $$ \frac{x}{12}=\frac{24}{16} $$
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