Today’s lesson . . .
What:
converting and Comparing
Fractions, Decimals, and %’s
Why:
To convert between fractions and
decimals; and to compare fractions,
decimals, and percentages.
Converting Decimals to
Fractions:
Think about
decimal
language!
Read it, Write it, Reduce it!
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!
1.
2.
0.05
3.
0.4
0.020
Continued:
Read it, Write it, Reduce it!
4.
5.
4.03
6.
0.002
5.005
How do you change a fraction into a decimal??
Video
“Take the top #,
divide by the
bottom #!”
Converting Fractions to
Decimals:
GuIDED PRACTICE:
1.
2.
1/
8
1/
3
“Take the top #,
divide by the
bottom #!”
Your turn:
1.
2.
5/
6
3/
5
Your TURN:
Decimal
Fraction
Percent
1.
.8
2.
1/
5
3.
9.06
4.
0.2%
Comparing Fractions, Decimals, and %’s:
STRATEGY: Convert
everything into
decimals first!
Let’s practice COMPARING a MIXTURE of fractions,
decimals, and %’s at the same time. Remember, CONVERT
TO DECIMALS FIRST!!!!
Guided practice:
Place a “greater-than” (>), “less-than” (<), or “equal” (=) sign in the
blanks:
1) 0.023 _____ 0.6
4) 2.5% _____ ¼
2) 35% _____ 3.5
5) 0.5 _____ 5%
3)
2/
5
_____ 40%
6) 0.75% _____ 0.75
Your turn:
Place a “greater-than” (>),“less-than” (<), or “equal” (=) sign in the
blanks:
1) 4.5 _____ 45%
4) 6.8% _____ 0.68
2) 15% _____ 0.092
5) 20% _____
1/
5
3)
3/
8
_____ 0.4
6) 5.09 _____ 450%
END OF LESSON
Next slides are student copies of the notes for this
lesson. These notes were handed out in class and
filled-in as the lesson progressed.
NOTE: The last slides in any lesson slideshow
(entitled “Practice Work”) represent the homework
assigned for that day.
NOTES
NAME:
DATE: ______/_______/_______
What: converting and Comparing Fractions, Decimals, and %’s
Why: To convert between fractions and decimals, and to compare fractions,
decimals, and percentages.
Converting Decimals to Fractions:
Think about
decimal
language!
Read it, Write it, Reduce it!
EXAMPLES:
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!
1.
2.
0.05
4.
3.
0.4
5.
4.03
0.020
6.
0.002
5.005
“Take the top #,
divide by the
bottom #!”
Converting Fractions to Decimals:
GuIDED PRACTICE:
Convert the following fractions into decimals.
1.
2.
1/
8
1/
3
3/
5
Your Turn:
1.
2.
5/
6
Your TURN:
Decimal
Fraction
Percent
1.
.8
2.
1/
5
3.
9.06
4.
0.2%
Comparing Fractions, Decimals, and %’s:
STRATEGY: Convert
everything into
decimals first!
Let’s practice COMPARING a MIXTURE of fractions, decimals, and %’s at
the same time. Remember, CONVERT TO DECIMALS FIRST!!!!
Guided practice:
Place a “greater-than” (>), “less-than” (<), or “equal” (=) sign in the blanks:
1) 0.023 _____ 0.6
2)
35% _____ 3.5
3)
2/
5
4) 2.5% _____ ¼
5)
0.5 _____ 5%
6)
0.75% _____ 0.75
_____ 40%
Your turn:
Place a “greater-than” (>),“less-than” (<), or “equal” (=) sign in the blanks:
1) 4.5 _____ 45%
4) 6.8% _____ 0.68
2)
15% _____ 0.092
5) 20% _____
1/
5
3)
6)
3/
8
_____ 0.4
5.09 _____ 450%
NAME:__________________________
PRACTICE WORK
DATE: ______/_______/_______
“Converting fractions, decimals, & percentages”
Fill in the missing parts of the below table:
Decimal
1.
Fraction
0.3
7/
8
2.
3.
4.
45%
0.20
2/
3
5.
6.
525%
3/
7
7.
8.
9.
10.
Percent
6%
0.002
2.5%
NAME:__________________________
PRACTICE WORK
DATE: ______/_______/_______
“Comparing and Ordering rational numbers”
Place a “greater-than” (>), “less-than” (<), or “equal” (=) sign in the blanks:
3/
4
1) 0.8 _____ 0.092
2)
2% _____ 0.3%
3)
_____ 7.5%
4) 12% _____ 0.012
5)
52% _____ 5/10
6) 1.25% _____ 1/8
Multiple Choice:
7)
Which of the following is equal to 3/8 ?
A)
8)
3.8
B)
3.75
C)
37.5%
D)
3.75%
Which of the following is equal to 50%?
A)
0.05
B)
7/14
C)
1/5
D)
50