1. FRACTIONS, DECIMALS & PERCENTS
Sale 20% Reductions
FRACTIONS, DECIMALS & PERCENTS
OH MY!

2. The table shows the heights of the ten tallest buildings in Dallas.
Dallas’ Tallest Buildings
Building
Height (ft)
Bank of America Plaza
921
Renaissance Tower
886
Bank One Center
787
JP Morgan Chase Tower
738
Fountain Place
721
Trammell Crow Center
686
1700 Pacific Avenue
655
Thanksgiving Tower
645
Energy Plaza
629
Elm Place
625
What fraction of the buildings are between 600 and 900 feet tall?
Write this fraction using words.
Write this fraction as a decimal.
1. 9 out of 10, which is 9/10
2. Nine-tenths

3. Fractions to Decimals 0. 7 5 -2 8 2 -2 0
To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR.
For example, to change into a decimal, you would
divide the 3 by the 4. 0. 7 5
-2 8 2
-2 0
This is called a TERMINATING DECIMAL.
(it comes to an end, as in terminate a game!)

4. Fractions to Decimals 0. 3 5 -6 0 1 0 -1 0 0
To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR.
Write each fraction or mixed number as a decimal. 0. 3 5
Example 1:
-6 0
1 0
-1 0 0
This is called a TERMINATING DECIMAL.
(it comes to an end, as in terminate a game!)

5. Fractions to Decimals
To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR.
Write each fraction or mixed number as a decimal.
We already know that ¾ = 0.75
Example 2:
Memorizing some conversions like these will make things a lot EASIER!
¼ = ½ = ¾ = 0.75
(one quarter) (half of a dollar) (three quarters)

6. Fractions to Decimals 0. 3 7 5 -2 4 6 - 5 6 4 - 4 0
To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR.
Write each fraction or mixed number as a decimal. 0. 3 7 5
Example 3:
-2 4 6
- 5 6 4
- 4 0

7. Fractions to Decimals 0. 3 3 3…….. - 9 1 - 9 1 - 9 1
To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR.
Write each fraction or mixed number as a decimal. 0. 3 3
3……..
Example 4:
- 9 1
- 9 1 1
This is called a REPEATING DECIMAL.
(a pattern in the digits repeats forever!)

8. You can use BAR NOTATION to indicate that a number repeats forever
You can use BAR NOTATION to indicate that a number repeats forever. A bar is written over the digit(s) that repeat.
Example 5: Write 7/9 as a decimal. 0. 7 7 7…
-6 3 7 7
- 6 3 7

9. 25/100 = 1/4 Decimals to Fractions
To change a decimal into a fraction, you place the decimal number over the correct pace value position as a fraction ( #/10 #/100 #/1000)
For example, to change 0.25 into a fraction, you would place 25 over a denominator of 100 since it is read “twenty-five hundredths”.
25/100 = 1/4

10. Copy and complete this chart
Decimal
Fraction
1) 0.7
2) 0.08
3) 0.42
4) 0.04
5) 0.71
6) 0.07

11. Classwork
Title: Glencoe Pg. 247 # Advanced: Glencoe Pg. 247 # 27-36, 38-42

12. How to change percentages into fractions and decimals
A percentage is a special fraction.
The % says, “per hundred.”
For example, 47%, is simply another way of writing the fraction 47/100

13. Fractions to Percents
A ratio is a comparison of 2 quantities by division. Fractions are ratios! can be written as 34:100 in ratio form. When a ratio compares a number to 100, it can be written as a percent.

14. Fractions to Percents
Ex 1: Annie answered 90 out of 100 questions correctly.
Since the fraction already has a denominator of 100, you automatically have the percentage!

15. Fractions to Percents
Ex 2: On average, 50.5 out of 100 students own a pet.
Since the fraction already has a denominator of 100, you automatically have the percentage!

16. Find an equivalent fraction that has a denominator of 100
Fractions to Percents
Ex 3: Write as a percent.
Find an equivalent fraction that has a denominator of 100 x5 x5

17. Try These x5 x5
x20
x20 x4 x4

18. You can almost see the 100 in the percentage sign%
The zeros
The 1
Percentage
Fraction 7%
7/100
19%
19/100
83%
83/100
Etc.

19. Yes, but remember to write the fraction in its simplest form
So to write a percentage as a fraction, you simply put it over 100 like this:
24% = 24/100
Yes, but remember to write the fraction in its simplest form
24% = 24/ / /25

20. Copy and complete this chart
Percentage
Fraction
1. 23%
23/100
7. 80%
2. 24%
8. 84%
3. 55%
9. 12%
4. 20%
1/5
10. 48%
5. 17%
11. 71%
6. 78%
12. 36%

21. Classwork
Glencoe Pg. 252 # 13-29, Advanced: Glencoe Pg. 252 # even, 37-40, 42, 43

22. So, to change a percentage into a decimal, you always divide by 100
Percents to Decimals
So, to change a percentage into a decimal, you always divide by 100
For example, 35% as a fraction is 35/100 so to change this into a decimal, you divide 35 by 100
35%
÷ 100

23. To change decimal into a percentage
Decimals to Percents
To change decimal into a percentage
Decimal
Percentage
To change a decimal into a percentage, you X by 100
X 100 %

24. ÷ 100 You Should Know X 100 Decimal to a percentage
A a percentage is a special fraction.
23% = 23/100
Percentage to a decimal
÷ 100

25. Copy and complete this chart
Percentage
Decimal
1. 27%
2. 2%
3. 55%
4. 5%
5. 17%
6. 98%