B Fractions Decimals and Percents I Convert Fractions

B: Fractions, Decimals, and Percents I: Convert Fractions to Decimals and Percents Fraction to Decimal → Divide top by bottom 9 9 ÷ 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 = 0. 175 x 100 =17. 5 %

Decimal to Fraction → Put over “ 10” denominator. 0. 175 3 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 =3 10 Divide both by 10

$Examples: 1. Convert the fraction to a decimal and a percent. a. 1 1$

Examples: 1. Convert the fraction to a decimal and a percent. a. 1 1 ÷ 500 = 0. 002 = 0. 2 % b. 80 128 = 0. 625 = 62. 5 % c. 6 5 = 1. 2 = 120 % 0. 002 x 100 80 ÷ 128 0. 625 x 100 6÷ 5 1. 2 x 100 ***It is okay to have greater than 100%

$2. Convert each decimal to a percent and fraction. a. 0. 0083 x 100%$

2. Convert each decimal to a percent and fraction. a. 0. 0083 x 100% = 0. 83% 0. 0083 = 4 decimal places so need 4 zeroes 83 10000 reduce if you can!!! 4 zeroes 83 10000 b. 0. 658 = 65. 8 % 0. 658 x 100 0. 658 3 decimal places so need 3 zeroes = 658 1000 reduce if you can !!! 3 zeroes = 329 500 divided top & bottom by 2 to get this reduced answer!

c. 4. 55 x 100 = 455% 4. 55 2 decimal places so need 2 zeroes = 455 100 2 zeroes Reduce if you can!!! = 91 20 Divided the top & bottom by 5 to get this reduced answer! 3. Convert each percent to a decimal and fraction. a. 358% 358 ÷ 100 = 3. 58 2 decimal places so need 2 zeroes = 358 100 = 179 50 reduce if you can!!! divided the top & bottom by 2 to get this reduced answer!!!

b. 0. 58% 0. 58 ÷ 100 = 0. 0058 = 58 10000 = 29 5000 c. 78 3 % 4 4 decimal places so need 4 zeroes reduce if you can!!! divided the top & bottom by 2 to get this reduced answer!!! Change to improper fraction percent! 4 x 78 = 312 + 3 = 315 % 4 Change to decimal percent! 315 ÷ 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% 78. 75 ÷ 100 = 0. 7875 rest of the solution is on the next slide!

= 0. 7875 4 decimal places so need 4 zeroes 7875 10000 = 63 80 reduce if you can!!! divided the top & bottom by 125 to get this reduced answer!!! Assignment Page 135 # 4 - 9