This document covers a lesson on fractions, decimals, and percents. It includes examples of writing fractions, decimals, and percents in equivalent forms by: writing fractions in simplest form; writing percents as fractions and decimals; writing decimals as fractions and percents; and writing fractions as percents and decimals. It provides step-by-step explanations and examples for converting between these number forms. It concludes with a brief quiz to assess understanding of converting between fractions, decimals, and percents.

1. 6-1 Fractions, Decimals, and Percents
Course 2
Warm UpWarm Up
Problem of the DayProblem of the Day
Lesson PresentationLesson Presentation

2. Warm Up
Write each fraction in the simplest form.
Course 2
6-1 Fractions, Decimals, and Percents
1.
4
10
8
50
2.
3.
75
100
4.
12
36
5. 6. 18
48
2
5
3
4
1
3
3
5
3
8
4
25
9
15

3. Problem of the Day
Use the clues to find the mystery percent.
Course 2
6-1 Fractions, Decimals, and Percents
1. The product of its digits is 24.
1
2
3. The sum of its digits is a prime number.
83%
2. It is greater than .

4. Learn to write equivalent fractions,
decimals, and percents.
Course 2
6-1 Fractions, Decimals, and Percents

5. Vocabulary
percent
Insert Lesson Title Here
Course 2
6-1 Fractions, Decimals, and Percents

6. Course 2
6-1 Fractions, Decimals, and Percents
The students at Westview Middle School
are collecting cans of food for the local
food bank. Their goal is to collect 2,000
cans in one month. After 10 days, they
have 800 cans of food. What percent of
their goal have they reached?

7. Course 2
6-1 Fractions, Decimals, and Percents
0 200 400 600 800 1,000 1,200 1,400 1,600 1,800 2,000
0 1
5
2
5
3
5
4
5
5
5
0
0 0.2
0.4 0.6 0.8 1.0
0 20%
40%
60% 80%
100%
The number lines show that the students have
reached 40% of their goal.

8. Course 2
6-1 Fractions, Decimals, and Percents
The word percent means “per hundred.”
So 40% means “40 out of 100.”
Reading Math
A percent is the ratio of a number to 100.
The symbol % is used to indicate that a
number is a percent. For example, 40% is
the ratio 40 to 100, or . Percents can be
written as fractions or decimals
40
100

9. Write 88% as a fraction in simplest form.
Additional Example 1: Writing Percents as Fractions
Course 2
6-1 Fractions, Decimals, and Percents
88% = 88
100
Write the percent as a fraction with a
denominator of 100.
= 22
25
Simplify.

10. Write 45% as a fraction in simplest form.
Try This: Example 1
Course 2
6-1 Fractions, Decimals, and Percents
45% = 45
100
Write the percent as a fraction with a
denominator of 100.
= 9
20
Simplify.

11. Additional Example 2: Writing Percents as Decimals
Course 2
6-1 Fractions, Decimals, and Percents
Write 51% as a decimal.
51% = 51
100
= 0.51
Write the percent as a fraction with a
denominator of 100.
Write the fraction as a decimal.

12. Try This: Example 2
Course 2
6-1 Fractions, Decimals, and Percents
Write 67% as a decimal.
67% = 67
100
= 0.67
Write the percent as a fraction with a
denominator of 100.
Write the fraction as a decimal.

13. Course 2
6-1 Fractions, Decimals, and Percent
Notice that both 43% and 0.43 mean
“43 hundredths.” Another way to write
a percent as a decimal is to delete the
percent sign and move the decimal
point two places to the left.
43.% = 0.43

14. Write each decimal as a percent.
Additional Example 3A & 3B: Writing Decimals as
Percents
Course 2
6-1 Fractions, Decimals, and Percents
A. 0.08
= 8%
B. 0.7
= 70%
Write the decimal as a fraction.
Write the fraction as a percent.
Write the decimal as a fraction.
Write an equivalent fraction with a
denominator of 100.
Write the fraction as a percent.
0.08 =
8
100
0.7 =
7
10
70
100
=

15. Write each decimal as a percent.
Try This: Example 3A & 3B
Course 2
6-1 Fractions, Decimals, and Percents
A. 0.01
= 1%
B. 0.1
= 10%
Write the decimal as a fraction.
Write the fraction as a percent.
Write the decimal as a fraction.
Write an equivalent fraction with a
denominator of 100.
Write the fraction as a percent.
0.01 =
1
100
0.1 =
1
10
10
100
=

16. Course 2
6-1 Fractions, Decimals, and Percent
Both 0.07 and 7% mean “7 hundredths.”
you can write a decimal as a percent by
moving the decimal point two places to
the right and adding the percent sign.
0.07 = 7.0%

17. Course 2
6-1 Fractions, Decimals and Percents
Write each fraction as a percent.
A. 3
5
3
5
= 3 · 20
5 · 20
=
60
100
= 60%
Write an equivalent fraction
with a denominator of 100.
Write the fraction as a percent.
The method shown in example 4A works only if the
given denominator is a factor or multiple of 100.
Helpful Hint
Additional Example 4A: Writing Fractions as Decimals

18. Write each fraction as a percent.
Additional Example 4B: Writing Fractions as
Decimals
Course 2
6-1 Fractions, Decimals, and Percents
B. 7
40
7
40
= 7 ÷ 40
= 0.175
= 17.5%
Use division to write a fraction as a
decimal.
Write the decimal as a percent.
The method shown in 4B works for any denominator.
Helpful Hint

19. Course 2
6-1 Fractions, Decimals and Percents
Write each fraction as a percent.
A. 3
4
3
4
= 3 · 25
4 · 25
=
75
100
= 75%
Write an equivalent fraction
with a denominator of 100.
Write the fraction as a percent.
Try This: Example 4A

20. Write each fraction as a percent.
Try This: Example 4B
Course 2
6-1 Fractions, Decimals, and Percents
B. 9
60
9
60
= 9 ÷ 60
= 0.15
= 15%
Use division to write a fraction as a
decimal.
Write the decimal as a percent.

21. Lesson Quiz
65%
Insert Lesson Title Here
0.72
60%
Course 2
6-1 Fractions, Decimals, and Percents
1. Write 40% as a fraction.
2. Write 0.65 as a percent.
3. Write 72% as a decimal.
4. Write as a percent.
6
10
5. About 95% of all animals are insects. Express
this percent as a fraction.
2
5
19
20