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Chapter 2: Problem 42

Convert to percent notation. $$ \frac{3}{8} $$

Short Answer

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Step by step solution

01

Convert Fraction to Decimal

First, convert the given fraction to a decimal by dividing the numerator by the denominator. \(\frac{3}{8} = 0.375\)
02

Convert Decimal to Percent

Next, convert the decimal to a percent by multiplying the decimal by 100. \(0.375 \times 100 = 37.5\)
03

Write in Percent Notation

Finally, write the result from Step 2 as a percent. \(37.5\%\)

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Key Concepts

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

headline of the respective core concept
To convert a fraction to a decimal, you need to perform division. This means dividing the numerator by the denominator. The numerator is the top number and the denominator is the bottom number. For example, in the fraction \( \frac{3}{8} \), 3 is the numerator and 8 is the denominator.
To find the decimal equivalent of \( \frac{3}{8} \), you divide 3 by 8. When you do this, you get 0.375.
So, \( \frac{3}{8} \) as a decimal is 0.375. Here are the steps in a simple format:
  • Identify the numerator and denominator.
  • Divide the numerator by the denominator.
  • The result is your decimal.
headline of the respective core concept
Once you have a decimal, converting it to a percent is straightforward.
You simply multiply the decimal by 100. This moves the decimal point two places to the right.
For instance, if you start with 0.375, you multiply it by 100 to get 37.5.
Here is the process:
  • Take your decimal (in our case, 0.375).
  • Multiply by 100 (0.375 脳 100).
  • Get the result, which is 37.5.
Now you have 37.5, which is the percent equivalent of the decimal 0.375.
headline of the respective core concept
Percent conversion means converting fractions or decimals to percentages and vice versa. A percent represents a fraction out of 100. For example, 37.5% is the same as 37.5 out of 100.
Converting fractions and decimals to percent makes it easier to understand and compare values. Here is a quick rundown:
  • To convert a fraction to a decimal, divide the numerator by the denominator.
  • To convert a decimal to a percent, multiply it by 100.
  • Writing the result as a percent involves adding the '%' symbol.
Using these steps ensures that you can confidently convert and understand different numerical formats.

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Most popular questions from this chapter

Use an inequality and the five-step process to solve each problem. A person is considered to be feverish when his or her temperature is higher than \(98.6^{\circ} \mathrm{F} .\) The formula \(F=\frac{9}{5} C+32\) can be used to convert Celsius temperatures \(C\) to Fahrenheit temperatures \(F .\) For which Celsius temperatures is a person considered feverish?

Use an inequality and the five-step process to solve each problem. The women's volleyball team can spend at most \(\$ 450\) for its awards banquet at a local restaurant. If the restaurant charges a \(\$ 40\) setup fee plus \(\$ 16\) per person, at most how many can attend?

To prepare for Section \(2.6,\) review inequalities. Write a second inequality with the same meaning. $$x \geq-4$$

Use an inequality and the five-step process to solve each problem. The perimeter of a rectangular swimming pool is not to exceed 70 ft. The length is to be twice the width. What widths will meet these conditions?

Translate to an inequality. A number is less than \(10 .\)
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