1. converting Fractions, Decimals, and percentages
Today’s lesson . . .
What:
converting Fractions, Decimals, and percentages
Why:
To convert between fractions, decimals, and percentages.
How:
By actively participating in lesson and practice, and by completing homework.
We will answer some key essential questions . . .
(next slides)

2. How are fractions, decimals, and percentages similar?

3. How do you convert between percentages and decimals?

4. How do you convert decimals to fractions?

5. Prior Knowledge/ Vocabulary:
A proper FRACTION represents a part out of a larger whole
( 𝟕 𝟏𝟎 means 7 out of 10 ).
A PERCENT represents a part out of one-hundred
(35% means 35 out of one-hundred).
A DECIMAL number also represents the relationship between a whole number and its parts.
(3.25 means 3 wholes and 25-hundredths of a whole).

6. Visual Example:
𝟐 𝟑

7. On a Number Line:
Fraction:
Percent:
Decimal:
70%
𝟕 𝟐𝟎
0.95

8. part Fractions, decimals, and percentages
ALL represent ______________ of a whole.
Because they can all be used to represent the same value,
we can CONVERT between them whenever we want to!
part

9. Move decimal point 2 spaces to the __________!
Converting Decimals and Percentages:
Decimal to Percent:
Move decimal point 2 spaces to the __________!
Percent to Decimal:
right
Decimal to % (D to P) Example:
0.125 = 12.5%
left
% to Decimal (P to D) Example:
5% = 0.05

10. Practice: DECIMAL PERCENT 1. 35% 2. 0.6 3. 4% 4. 4.8 5. 6.2% 6. .035
Together:
DECIMAL
PERCENT 1.
35% 3. 4% 5.
6.2%

11. 0.08 0.9% 4.29 525% 0.565 20% Practice: Your Turn: DECIMAL PERCENT 1.8% 3.
429% 5.
56.5%
0.08
0.9%
4.29
525%
0.565
20%

12. BRAIN BREAK!!
“Smart Move” Exercise

13. Use Decimal Language to READ IT, WRITE IT, REDUCE IT!
Converting Decimals to Fractions:
Use Decimal Language to
READ IT, WRITE IT, REDUCE IT!
Can you fill-in-the-blanks with the correct place-value names? 1,
tens
ones
tenths
thousands
hundreds
hundredths
thousandths
ten-thousandths
Who can say above # in “Decimal Language”?

14. Practice:
0.04
Four- hundredths _________________________________
Three and two-tenths_____________________________
3.2
_______________________________________________
________________________________________________
“Zero and one-thousandth” (or “one-thousandth” )
“Forty-five and one-tenth”

15. Think about decimal language!
Read it, Write it, Reduce it!
Think about decimal language!
Convert the following decimal #’s into fractions. Remember, if you can say the decimal #’s in your head (using decimal language)– you can write the decimal as a fraction! READ IT, WRITE IT, REDUCE IT!
PRACTICE: 1) 2) 3)
Since the “5” is in the
“hundredths” spot on a
place-value chart, we would
say this out-loud as . . .
“Five-hundredths”
This helps us to write the
fraction.
ANSWER: 𝟓 𝟏𝟎𝟎 or 𝟏 𝟐𝟎
4 10
= 𝟐 𝟓
3 𝟐 𝟏𝟎𝟎
= 3 𝟏 𝟓𝟎

16. Read it, Write it, Reduce it!
Continued:
Read it, Write it, Reduce it! 4)
4.03 5)
0.002 6)
0.0035
4 𝟑 𝟏𝟎𝟎
𝟐 𝟏,𝟎𝟎𝟎
= 𝟏 𝟓𝟎𝟎
𝟑𝟓 𝟏𝟎,𝟎𝟎𝟎
= 𝟕 𝟐𝟎𝟎𝟎

17. BRAIN BREAK!!
“Wiggles” Exercise

18. 𝟔 𝟏𝟎 or 𝟑 𝟓 𝟕 𝟏,𝟎𝟎𝟎 60% 0.007 Let’s tie it all together ! Fraction
Decimal
Percent 1)
0.6 2)
0.7%
𝟔 𝟏𝟎 or 𝟑 𝟓
60%
𝟕 𝟏,𝟎𝟎𝟎
0.007

19. 5 𝟓 𝟏𝟎𝟎 or 5 𝟏 𝟐𝟎 𝟏𝟐 𝟏𝟎𝟎 or 𝟑 𝟐𝟓 0.12 505% We’ve got this! Fraction
Decimal
Percent 3)
12% 4)
5.05
𝟏𝟐 𝟏𝟎𝟎 or 𝟑 𝟐𝟓
0.12
5 𝟓 𝟏𝟎𝟎 or 5 𝟏 𝟐𝟎
505%

20. 0.004 Your turn… Fraction Decimal Percent 5) 113% 6) 1 𝟏𝟑 𝟏𝟎𝟎
1 𝟏𝟑 𝟏𝟎𝟎
1.13
𝟒 𝟏,𝟎𝟎𝟎 𝒐𝒓 𝟏 𝟐𝟓𝟎
0.4%

21. Wrap-it-up (Summary) :
After today’s lesson, let’s use our
notes to answer the essential questions . . .
How are fractions, decimals, and percentages
similar?
They all represent parts of a whole!

22. Wrap-it-up (Summary) :
After today’s lesson, let’s use our
notes to answer the essential questions . . .
How do you convert between percentages and
decimals?
Move the decimal point 2 SPACES either to the LEFT OR to the RIGHT!!
Use the alphabet to remember which way.

23. READ it, WRITE it, REDUCE it!
Wrap-it-up (Summary) :
How do you convert decimals to fractions?
READ it, WRITE it, REDUCE it!

24. END OF LESSON