1. Fraction Decimal Percents

2. Standards
M6N1. Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and will use these concepts to solve problems.
f. Use fractions, decimals, and percents interchangeably.
g. Solve problems involving fractions, decimals, and percents.

3. How are fractions, decimals, and percents related?
Essential Question
How are fractions, decimals, and percents related?

4. Vocabulary Copy this slide into your CB on page 81.
Repeating Decimal-one or more digits repeat continuously
Ex ….
Terminating Decimal- has a finite number of decimal places
Ex. 0.75

5. How do I change from a fraction to a decimal?
Divide the top by the bottom.
Ex. 3 4
(Check your answers on the next slide.)
Ex. 1 9

6. 1. ¾ = /9 = .1‾

7. Change the following fractions to decimals:
You Try:
Change the following fractions to decimals:
5/8
(Check your answers on the next slide.)
2. 8/9

8. 1. 5/8= /9=.8‾

9. How do I change from a decimal to a fraction?
Read the decimal and write it as you read it.
Simplify the fraction. Ex
Eleven Hundredths
(Check your answers on the next slide.) Ex
Five Hundredths

10. .11=11/100
.05= 5/100= 1/20

11. Change the following decimals to fractions:
You Try
Change the following decimals to fractions:
0.02
(Check your answers on the next slide.)

12. .02 = 2/100 = 1/50
.052 = 52/1000 =13/250

13. WOW!! TAKE A BREATH!

14. How do I change from a decimal to a percent?
Multiply the decimal by 100.
(MOVE THE DECIMAL TWO PLACES TO THE RIGHT.) Ex
(Check your answers on the next slide.) Ex

15. .64 =64%
.05=5%

16. Change the following decimals to percents:
You Try:
Change the following decimals to percents:
0.45
(Check your answers on the next slide.)

17. .45= 45%
0.01 = 1%

18. How do I change from a percent to a decimal?
Divide by 100.
(MOVE THE DECIMAL TWO PLACES TO THE LEFT.)
Ex. 42%
(Check your answers on the next slide.)
Ex. 7%

19. 42% = .42
7% = .07

20. Change the following percents to decimals:
You Try
Change the following percents to decimals:
17%
(Check your answers on the next slide.)
2. 19%

21. 17%= .17
19% = .19

22. Summary of all conversion rules
Copy this slide into your CB on pages
Percents
1. Percent to fraction-
Put the percent over 100 and drop % sign
2. Percent to decimal-
Move the decimal point two places to the LEFT and drop % sign

23. Summary of conversion rules
Copy this slide into your CB on pages Decimals 1. Decimal to fraction- Put the decimal over its place value and drop the decimal point 2. Decimal to percent- Move the decimal point two places to the RIGHT and add % sign

24. Summary of conversion rules
Copy this slide into your CB on pages Fractions- 1. Fraction to decimal- Top divided by bottom 2. Fraction to percent- Turn into a decimal then to a percent

25. This sheet is in your packet. Complete these problems in your packet.
Write each percent as a fraction in simplest form % 2. 29% Write each percent as a decimal % 4. 86% 5. A store clerk has an 8% sales increase. Write the increase as a fraction in simplest form and as a decimal.