1. Being able to use fractions, decimals and percents interchangeably
Common Conversions
Being able to use fractions, decimals and percents interchangeably

2. What am I Learning Today?
Rational numbers (decimals, fractions, and percents)
How will I show that I learned it?
To understand and use rational numbers to convert between fractions, decimals, and percents.

3. What exactly is a percent?
You can remember that percent means “per hundred.” For example, 8% means “8 per hundred,” or “8 out of 100.”
Most states charge sales tax on items you purchase. Sales tax is a percent of the item’s price. A percent is a ratio of a number to 100.

4. 2
Fractions
Percents
Decimals 5
40%
.40

5. 2
Fractions
Percents
Decimals 5
40%
.40

6. convert from a percent to a decimal:
Propose a rule to
convert from a percent to a decimal:
99 % = .99
Test your rule:
27 % = .27

7. - Move the decimal point two places to the left.
Questions Answers
How do I change from a percent to a decimal?
- Move the decimal point
two places to the left.
- Drop the percent sign.
*This is the same as
dividing by 100.

8. Change the percent to a decimal.
19 % =
.19
4 % =
.04
17 % =
.17

9. 2
Fractions
Percents
Decimals 5
40%
.40

10. 2
Fractions
Percents
Decimals 5
40%
.40

11. convert from a decimal to a percent:
Propose a rule to
convert from a decimal to a percent:
= %
Test your rule:
= %

12. - Move the decimal point two places to the right
Questions Answers
How do I change from a decimal to a percent?
- Replace the % with a
decimal
- Move the decimal point
two places to the right
- Attach a percent sign
*This is the same as
multiplying by 100.

13. Change the decimal to a percent.=
50% =
2 %
130 % =

14. 2
Fractions
Percents
Decimals 5
40%
.40

15. 2
Fractions
Percents
Decimals 5
40%
.40

16. convert from a decimal to a fraction:
Propose a rule to
convert from a decimal to a fraction: 75 3
.75 = =
100 4
Test your rule: 25 1
.25 = =
100 4

17. - The number itself is the numerator - The denominator is the
Questions Answers
How do I change from a decimal to a fraction?
- Write it as you would
read it
- The number itself is the
numerator
- The denominator is the
place value
- SIMPLIFY

18. Change the decimal to a fraction:43
.43 =
100 1
.01 =
100

19. 2
Fractions
Percents
Decimals 5
40%
.40

20. 2
Fractions
Percents
Decimals 5
40%
.40

21. convert from a fraction to a decimal:
Propose a rule to
convert from a fraction to a decimal: 3 =
4 ) 3 4

22. - Divide the denominator into the numerator.
Questions Answers
How do I change from a fraction to a decimal?
- Divide the denominator
into the numerator.
- Try to divide out to the
thousandths place to see
if it’s a terminating or
repeating decimal

23. Change the fraction to a decimal:4 =
0.8 5 7
0.875 = 8

24. 2
Fractions
Percents
Decimals 5
40%
.40

25. 2
Fractions
Percents
Decimals 5
40%
.40

26. convert from a percent to a fraction:
Propose a rule to
convert from a percent to a fraction: 75 3
75 % = =
100 4

27. *Remember, “percent” means “per hundred”
Questions Answers
How do I change from a percent to a fraction?
- Put the number over 100
and reduce
- Drop the percent sign.
*Remember, “percent” means “per hundred”

28. Change the percent to a fraction:32 16 8
32 % = = =
100 50 25 7 35 =
35% = 20
100

29. 2
Fractions
Percents
Decimals 5
40%
.40

30. 2
Fractions
Percents
Decimals 5
40%
.40

31. dividing the numerator by the denominator - Move the decimal point
Questions Answers
How do I change from a fraction to a percent?
- Convert fraction to a
decimal number by
dividing the numerator by
the denominator
- Move the decimal point
two places to the right.
- Attach a percent sign.

32. Change the fraction to a percent:3 =
15 ) 3
= 0.2 = 20% 15 5 =
8 ) 5
= = 62.5% 8

33. 1. 2. 3. 4. 5. 6. Convert to a fraction: .23 70% Convert to a percent:10
100
Convert to a percent: 3. 4. 1
.23
23%
0.2 = 20% 5
Convert to a decimal: 5. 6. 1
70%
0.7
0.2 5

34. Summarize your Conversions
In the flipbook provided, provide a summary of how to convert between rational numbers. Include an example for each.
JUST FOLLOW ME ….

35. Move your decimal 2 places to the right and add a % sign
Flip Book
Decimal to Percent
Move your decimal 2 places to the right and add a % sign
EX: 0.67 =

36. Drop the %, move the decimal 2 places to the left.
Flip Book
Percent to Decimal
Drop the %, move the decimal 2 places to the left.
EX: 65% =

37. Write the number over 100 & simplify
Flip Book
Percents to Fractions
Write the number over 100 & simplify
EX: 96% =

38. Flip Book
Fractions to Percents
Change the fraction to a decimal, then to a percent by moving the decimal 2 places to the right
EX: 1/2 =

39. Write the number as the numerator over its place value & simplify
Flip Book
Decimals to Fractions
Write the number as the numerator over its place value & simplify
EX: 0.45 =

40. Divide the denominator into the numerator
Flip Book
Fractions to Decimals
Divide the denominator into the numerator
EX: 2/5 =