1. Chapter 9: Lesson 3: Converting Fractions, Decimals, and Percents
Objective:
We will learn to understand the relationship between percents, fractions, and decimals.

3. Since percent means “out of 100” to write a percent as a fraction, you have to rewrite the percent using 100 as the denominator. Then put the fraction in simplest form.
30% = 30 = 3
Steps:
1. Write the percent over a 100 to turn it into a fraction.
2. Re-write the fraction in lowest terms or simplest form.
Your Example: Write 42% as a fraction in lowest terms.

4. To write a percent as a decimal, you must move the decimal point two places to the left. (Add zeros as needed.)
For example: Write 65% as a decimal.
(If there is no decimal point in the percent, there is always an invisible decimal point at the end of the last digit. You must move that decimal 2 places to the left. )
65% = 65. = 0.65
⏎2 places to the left
Your Example: Write 4.3% as a decimal.

5. For example: Write the decimal 0.78 as a percent. 0.78 = 78. = 78%
To change a decimal into a percent you must do the opposite and move the decimal 2 decimal places to the right.
For example: Write the decimal as a percent.
0.78 = 78. = 78%
2 places to the right 
Your example: Write the decimal as a percent.

6. To turn a fraction into a percent…
You can use division to write a fraction as a percent.
For example: Write 3 as a percent. 5
Steps: 1. Divide 3 ÷ 5 = 0.6 (You will get a decimal.
2. Then you must move the decimal point places to the right to rewrite the decimal as a percent.
0.6 = = 60%
Move the decimal 2 places to the right 
Your example: Write the fraction 5 as a percent. 7

7. Homework:
Complete the chart by converting each percent, fraction and, decimal.
Percent
Decimal
Fraction % 2. 4 5 3.
0.87
4. 30% 3 10 5.
0.1 % 7. 7 9