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

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%  ÷ 100 =
25%  25 ÷ 100 =

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:  x 100= 6.5 %
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 =  .75 x 100 = 75%
Answer: 3 is 75% of 4
Example #2: 8 is what percent of 37?
8 ÷ 37 =  x 100 =  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 = ÷ 35 = 
x 100 =  round
Answer 18/35 =51.43%

9. Comparing Fractions, Decimals and Percent
Part A - FROM a Fraction
Part 1A - Fraction to a Decimal
Examples
1.) Convert the fraction 3/8 to a DECIMAL
Divide: 3 ÷ 8 = 0.375
2.) Convert 4/9 to a DECIMAL
4 ÷ 9 = …
0.44
4/9
Notice that these diagrams have the same amount shaded in, so 4/9 is the same as 0.44…
x x x x x

10. Part 2A- Decimal to a Percent
To convert a decimal to a percent Mult