1. Converting Fractions to Decimals
Two methods:
1. Building a fraction to a base ten number
2. Dividing numerator by denominator

2. Building up the fraction to a base ten number:.5 x
.20
1.75

3. 8/3 : Repeating Decimal = Put a bar over the first
number(s) that repeats
And drop the rest.

4. Mixed Fraction to a Mixed Decimal
Whole numbers are to the left of the fraction
And to the left of the decimal numbers;
Convert fractional part to decimal by
Dividing

5. Section Understanding Percent

6. Percent, %, means per hundred.
The percent number is that number compared to
a total of 100.
Example: For every $100 invested, you received $6 in return; the interest rate is 6 %

7. What is the percentage for the following:
386/100
1/100
.07/100
386%
1 %
.07%

8. Write as a decimal
38% 6%
47%
375%
.38
.06
.47
3.75

9. What are the rules to change % to a decimal? Ex: 82%
Drop the % symbol
Perform the operation the symbol represents - Divide by 100
- move decimal 2 places
What is the clue word? Per
- per hundred means divide by 100

10. Writing a Decimal as a Percent
Move the decimal point two places to the right – (multiply by 100)
0.47 (100%) = 47
Add the % symbol
at the end
of the number
47%

11. Which way to move decimal? Remember the alphabet D before P L before R
52%
D   P
L   R
.52
.005
D  P
L   R
.5%

12. For every 100 total items, there is 47.
Remember - 47% is 47 out of every A ratio
is a comparison BUT
You may not have 47 items.
For every 100 total items, there is 47.
If there were 10 total items,
you would have 4.7 items

13. Changing Between Percents, Decimals, and Fractions
Percent to fraction
Drop the symbol
Write the percent number over 100
reduce
75% 75
75/100
3/4

14. Example: 225% Rewrite % symbol as 1/100 225 1 __1_ x = 225 100 100=
100
100
Simplify (reduce fraction)
2 25/100 = 2 1/4

15. % Example Change to improper fraction Change symbol to fraction %
Reduce

16. ¼ ¾ ½ Memorize the following equivalents 25% 50% 75% 33 1/3% 1/3
66 2/3%
10%
1/3
2/3
1/10

17. Fraction to Percent
Can you easily change the denominator to equal 100?

18. If denominator cannot be changed easily
to 100, find decimal number first.
16.67%
Rounded to the nearest
Hundredth of a percent

19. Another method – fraction to percent:
Write a proportion
Cross multiply
7*100 = 8 n
700 = 8n
Divide by 8 8 8
n = 87.5%

20. Changing a fraction to a percent containing a fraction:
Stop the division after two steps

21. Solving Percent Problems Using an equation
Translating a Percent Problem into an Equation

22. What is 5% of 19.00?
N = .05 x 19.00
N = .95
35% of what is 60?
x N = 60
N = 60 / .35
N =
Find 0.6% of 400
N = .006 x 400
N = 3.6

23. Words to symbols “What” becomes n “Is” becomes =
Percent numbers become decimals
“of” means multiplication

24. Example 90 is what percent of 20? 90 = p x 20 =4.5 * 100% = 450%

25. Solving % Problems by using Proportion A = RB
Identify the Parts of the Percent Proportion
The base, b, is always multiplied by the rate.
In, 16% of 370, 370 is the base.
The amount, a, is always by itself on one side of
the equation.
In “What percent of 18 is 4.5?”, 4.5 is the amount.

26. A, amount
Base = b
R= percent Rate
A = b (R)
When solving for percent,
change decimal to percent

27. Set up Proportion Cross multiply and then divide
By the variable’s coefficient
Ex: Find 260 % of 40
Reduce fraction and cross multiply
A(10)=40( 26)
A = 104
A = 4 * 26

28. What percent of 4000 is 160?
400 p = 16* 100
4 %

29. END by Lori Tsutsui http://www.numberbasics.com