/*! 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 15 Find percent notation. $$ \f... [FREE SOLUTION] | 91影视

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Chapter 6: Problem 15

Find percent notation. $$ \frac{2}{3} $$

Short Answer

Expert verified
\(\frac{2}{3}\) is approximately \(66.67\%\).

Step by step solution

01

Understand the Fraction

The given fraction is \(\frac{2}{3}\). This means we have 2 parts out of a total of 3 parts.
02

Convert Fraction to Decimal

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). Thus, \(\frac{2}{3} = 2 \, \text{divided by} \, 3\). Use a calculator or long division to find that \(\frac{2}{3} \approx 0.6667\).
03

Convert Decimal to Percent

To convert a decimal to a percent, multiply by 100 and add the percent sign. Therefore, \(0.6667 \times 100 = 66.67\). So, \(\frac{2}{3}\) in percent notation is approximately \(66.67\%\).

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Key Concepts

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

Fraction to Decimal Conversion
Let's start by converting the fraction \(\frac{2}{3}\) into a decimal. A fraction represents a part of a whole. The numerator (2) is the part, and the denominator (3) is the whole. To convert this fraction to a decimal, we perform division. We divide the numerator by the denominator. You can use a calculator for this, or do it manually using long division.
When you divide 2 by 3, you get approximately 0.6667. This repeating decimal is often rounded to four decimal places for simplicity.
So, the fraction \(\frac{2}{3}\) as a decimal is approximately 0.6667.
Decimal to Percent Conversion
Now, let's convert the decimal 0.6667 to a percent. A percent represents a number out of 100, and is denoted with the % sign. To convert a decimal to a percent, multiply the decimal by 100, then add the % sign.
For example, \(0.6667 \times 100 = 66.67%\).
This means the decimal 0.6667 is equal to 66.67%. Hence, after converting the fraction \(\frac{2}{3}\) to a decimal and then to a percent, we get approximately 66.67%.
Basic Arithmetic
Understanding basic arithmetic is crucial in solving fraction to decimal and decimal to percent conversions. Arithmetic involves basic operations like addition, subtraction, multiplication, and division.
In this exercise, the key operation is division (converting \(\frac{2}{3}\) into 0.6667) and multiplication (converting 0.6667 into 66.67%).
  • Division: To find the decimal form of a fraction, divide the numerator by the denominator.
  • Multiplication: To convert a decimal to a percent, multiply by 100.
By mastering these basic arithmetic operations, you can easily convert fractions to decimals and then to percent notation.

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Most popular questions from this chapter

In baseball, the strike zone is normally a 17 -in. by 30 -in. rectangle. Some batters give the pitcher an advantage by swinging at pitches thrown out of the strike zone. By what percent is the area of the strike zone increased if a 2 -in. border is added to the outside?

Solve. Mia's Boutique borrows \(\$ 10,000\) at \(9 \%\) for 60 days. Find (a) the amount of interest due and (b) the total amount that must be paid after 60 days.

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

Solve. A real estate commission rate is \(8 \%\). What is the commission from the sale of a piece of land for \(\$ 68,000 ?\)

Find the prime factorization of 228 .
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