Converting fractions, decimals, and percentages

Do you multiply fractions straight across?

Yes, then simplify

Convert 46.2% into a decimal

1. Divide 46.2% by 100 2. Your answer is .462

Convert 1/5 into decimal

1. Divide 5 into 1 2. Your answer will be .2

Convert 1.28 into a fraction

1. Ignore the decimal and place the number over the place value of the last digit 2. In this case since the 8 in in the hundredths place, we will place 128/ 100 2. Your answer is 128/100

Covert 1.28 into a percent

1. Multiply 1.28 by 100 or move the decimal to places to the right

Convert 46.2 into a fraction

1. Percent will always be put over 100 2. 46.2/ 100 3. Move the decimal to the right once to get rid of it 4. Do the same to the bottom 5. 462/ 1000 OR 1. We know the decimal form of the percentage. .462 2. Take the place of the last digit and put it over that number, 462/1000 3. Simplify 4. Your answer is 231/ 500

Convert 0.3 into a decimal

1. Put 0.3 over 1 2. 0.3/ 1 multiplied by 10/10 3. Your answer should be 3/10

Convert 1/5 into percent

1. We know that the decimal form of this fraction is .2 2. Therefore, we can either multiple .2 by 100 or move the decimal 2 places to the right 2. Your answer is 20%

10 x 11

110

11 x 11

121

6 x 12

72

9 x 8

72

8 x 12

96

A percent will always be put over 100 to get a fraction

A percent will always be put over 100 to get a fraction

Always simplify fraction unless told otherwise

Always simplify fraction unless told otherwise

Order of Operations (PEMDAS)

Parenthesis Exponents Multiplication Division Addition Subtraction

When dividing fractions

flip the second fraction and multiply straight across