Percent		Unit 4

Problem:

What fraction of each grid is shaded?

Grid 1	Grid 2	Grid 3
Answer	Answer	Answer

Each grid above has 100 boxes. For each grid, the ratio of the number of shaded boxes to the total number of boxes can be represented as a fraction.

Comparing Shaded Boxes to Total Boxes
Grid	Ratio	Fraction
1	96 to 100
2	9 to 100
3	77 to 100

We can represent each of these fractions as a percent using the symbol %.

=

96%

=

9%

=

77%

Definition:

A percent is a ratio whose second term is 100. Percent means parts per hundred. The word percent comes from the Latin phrase per centum, which means per hundred. In mathematics, we use the symbol % for percent.

Let's look at our comparison table again. This time the table includes percents.

Comparing Shaded Boxes to Total Boxes
Grid	Ratio	Fraction	Percent
1	96 to 100		96%
2	9 to 100		9%
3	77 to 100		77%

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Let's look at some examples in which we are asked to convert between ratios, fractions, decimals and percents.

Example 1:	Write each ratio as a fraction, a decimal, and a percent:   4 to 100,   63 to 100,   17 to 100
	Solution Ratio Fraction Decimal Percent   4 to 100 .04  4% 63 to 100 .63 63% 17 to 100 .17 17%

Example 2:	Write each percent as a ratio, a fraction in lowest terms, and a decimal:   24%,   5%,   12.5%
	Solution Percent Ratio Fraction Decimal 24% 24 to 100 .24   5%   5 to 100 .05   12.5%   12.5 to 100 .125

Example 3:	Write each percent as a decimal:   91.2%,   4.9%,   86.75%
	Solution Percent Decimal 91.2%  .912   4.9%  .049  86.75% .8675

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Summary:

A percent is a ratio whose second term is 100. Percent means parts per hundred. We use the symbol % for percent. In this lesson, we learned how to make basic conversions between ratios, fractions, decimals and percents.

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Exercises

Directions: Read each question below. Select your answer by clicking on its button. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, choose a different button.

1.  Which of the following is equal to ?

1.6       8 to 100       16%       None of the above.       RESULTS BOX:

2.  Which of the following is equal to 21.8%?

218 to 100       .218              None of the above.       RESULTS BOX:

3.  Which of the following is equal to 150%

15.0       1.50       .150       None of the above.       RESULTS BOX:

4.  Which of the following is equal to .0179?

1.79%       17.9%       179%       None of the above.       RESULTS BOX:

5.  Which of the following is equal to 56.28%?

56.28       5.628       .5628       None of the above.       RESULTS BOX:

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Lesson Access Meaning of Percent Writing Fractions as Percents Writing Decimals as Percents Writing Percents as Decimals Writing Percents as Fractions Percents Less Than 1 or Greater Than 100 Practice Exercises Challenge Exercises Solutions Related Activities Access Interactive Puzzle Printable Worksheet Percent Goodies Game
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