1. Ms. Nixon-Williams Grade 6 Honors Fractions, Decimals, Percent, Ratios Grade 6 Honors Fractions, Decimals, Percent, Ratios

2. Percent and Decimals and Fractions 1 The word Percent means “hundredths” or “divided by 100.” % is the symbol used to show percent 39% means 39 divided by 100 or The word Percent means “hundredths” or “divided by 100.” % is the symbol used to show percent 39% means 39 divided by 100 or

3. Percent, Decimals, Fractions, Ratios 2 To convert a percentage to a decimal  remove the percent sign and divide by 100. (You can also get the same results by moving the decimal point two places to the left) 16.2%  16.2 ÷ 100 = 0.162 25%  25 ÷ 100 = 0.25 To convert a percentage to a decimal  remove the percent sign and divide by 100. (You can also get the same results by moving the decimal point two places to the left) 16.2%  16.2 ÷ 100 = 0.162 25%  25 ÷ 100 = 0.25

4. Percent, Decimals, Fractions, Ratios 3 To convert a decimal to a percentage  multiply the decimal by 100 and add the decimal point (You can get the same result by moving the decimal point two places to the right) Examples: 0.065  0.065 x 100= 6.5 % 3.75  3.75 x 100 = 375% To convert a decimal to a percentage  multiply the decimal by 100 and add the decimal point (You can get the same result by moving the decimal point two places to the right) Examples: 0.065  0.065 x 100= 6.5 % 3.75  3.75 x 100 = 375%

5. Percent, Decimals, Fractions, Ratios 4 To find a percentage of a number  multiply the number by the decimal equivalent of the percent. Example: What is 25% of 80? (0.25)x(80) = 20  20 is 25% of 80

6. Percent, Decimals, Fractions, Ratios 5 To find what percent one number is of another, divide the number by the total and convert the answer to the equivalent percent. Example: 3 is what percent of 4? 3 ÷ 4 = 0.75 .75 x 100 = 75% Answer: 3 is 75% of 4 Example #2: 8 is what percent of 37? 8 ÷ 37 = 0. 21622  0.21622 x 100 = 21.622  round to 21.62% Answer: 8 is 21.62% of 37

7. Percent, Decimals, Fractions, Ratios 6 To find a number that is a certain percentage of another number, divide the number by the decimal equivalent of the percentage. Example: 8 is 40% of what number 8 ÷.40 = 20 Answer: 8 is 40% of 20 Example2: 17 is 34% of what number? 17 ÷.34 = 50 17 is 34% of 50

8. Percent, Decimals, Fractions, Ratios 7 To change a fraction into a percentage, divide to find its decimal equivalent and then multiply the decimal by 100. 18 /35 = 18 ÷ 35 = 0. 51429  0.51429 x 100 = 51.429  round Answer 18/35 =51.43%

9. Comparing Fractions, Decimals and Percent x x x x x x x x