1. B: Fractions, Decimals, and Percents
I: Convert Fractions to Decimals and Percents
Fraction to Decimal → Divide top by bottom
÷ 20 20
=0.45
Decimal to Percents → Multiply by 100 or move the decimals two places to the right.
= 0.45 x 100
= 45 %
II: Convert Decimals to Percents and Fractions
Decimal to Percent → Multiply by 100 or move the decimals two places to the right.
0.175
= x 100
=17.5 %

2. Decimal to Fraction → Put over “10” denominator.
decimal places = 1 with three zeroes
175
1000 *1 with 3 zeroes***
Reduce if you can!
7 (divided the top & bottom by 25) 20
III: Convert Percents to Decimals and Fractions
Percents to Decimals → Divide by 100 or move the decimals two places to the left.
30%
= 30 ÷ 100
= 0.30
Percents to Fractions → Put the percent over 100 and reduce if you can
= 30
100
Divide both by 10
= 3 10

3. Examples:
Convert the fraction to a decimal and a percent.
1 1 ÷ 500
500
= x 100
= 0.2 %
÷ 128
128
= x 100
= 62.5 %
6 6 ÷ 5 5
= x 100
= 120 % ***It is okay to have greater than 100%

4. = 83 83 = 658 2. Convert each decimal to a percent and fraction.
x 100%
= 0.83%
decimal places so need 4 zeroes =
zeroes
reduce if you can!!! 83
10000
b x 100
= 65.8 %
decimal places so need 3 zeroes
= 658
zeroes
reduce if you can !!!
= 329 divided top & bottom by 2 to get this reduced answer!
500

5. c x 100
= 455%
decimal places so need 2 zeroes
= 455
zeroes
Reduce if you can!!!
= 91 Divided the top & bottom by 5 to get this reduced answer! 20
3. Convert each percent to a decimal and fraction.
358% 358 ÷100
= 3.58
decimal places so need 2 zeroes
= 358 reduce if you can!!!
100
= 179 divided the top & bottom by 2 to get this reduced answer!!! 50

6. b % ÷100 =
decimal places so need 4 zeroes
= reduce if you can!!!
10000
= divided the top & bottom by 2 to get this reduced answer!!!
5000
c % Change to improper fraction percent!
4 4 x 78 = = 315
315 % Change to decimal percent!
÷ 4
78.75% This is the same amount of percent as what you are given just in a different
form! Now change this to a decimal and fraction!
78.75% ÷ 100 =
rest of the solution is on the next slide!

7. Assignment Page 135 # 4 - 9 0.7875 4 decimal places so need 4 zeroes
= reduce if you can!!!
10000
= 63 divided the top & bottom by 125 to get this reduced answer!!! 80
Assignment Page 135 # 4 - 9