Fractions, Decimals, and Percent conversions
Knowing how to convert fractions, decimals, and percents is a extermely important skill. This skill will save you a lot of time and effort.
Decimal -> Percent
Step 1: Decimal multiplied by 100 OR move decimal 2 spaces to the right
Example: 1.23
Way 1: 1.23 x 100= 123%
1.23 ---> 123% (Move decimal 2 spaces to the right)
123 %
*1.23 is 123% of 1
Step 1: Decimal multiplied by 100 OR move decimal 2 spaces to the right
Example: 1.23
Way 1: 1.23 x 100= 123%
1.23 ---> 123% (Move decimal 2 spaces to the right)
123 %
*1.23 is 123% of 1
Percent -> Decimal
Step 1: Percent divided by 100 OR move decimal two spaces to the right
Example: 297%
Way 1: 297/100= 2.97
Way 2: 297% ---> 2.97 (move the decimal 2 spaces to the left)
2.97
Step 1: Percent divided by 100 OR move decimal two spaces to the right
Example: 297%
Way 1: 297/100= 2.97
Way 2: 297% ---> 2.97 (move the decimal 2 spaces to the left)
2.97
Percent -> Fraction
Step 1: Write the percent over 100
Step 2: Reduce fraction if you can
Example: 85%
Step 1: 85/100
Step 2: 85/100= 17/20
17/20
Step 1: Write the percent over 100
Step 2: Reduce fraction if you can
Example: 85%
Step 1: 85/100
Step 2: 85/100= 17/20
17/20
Fraction-> Decimal
Step 1: Reduce fraction to the lowest terms
Step 2: Divide numerator by the denomenator
Step 3: Round to the nearest 100th *if needed*
Example: 13/65
Step 1: 13/65= 1/5
Step 2: 1 divided by 5= 0.20
Step 1: Reduce fraction to the lowest terms
Step 2: Divide numerator by the denomenator
Step 3: Round to the nearest 100th *if needed*
Example: 13/65
Step 1: 13/65= 1/5
Step 2: 1 divided by 5= 0.20
Decimal-> Fraction
Step 1: Say the decimal in expanded form (fraction form)
Step 2: write what you said
Step 3: Reduce fraction if you can
Example: .45
Step 1: forty-five hundreths
Step 2: 45/100
Step 3: 45/100= 9/20
Step 1: Say the decimal in expanded form (fraction form)
Step 2: write what you said
Step 3: Reduce fraction if you can
Example: .45
Step 1: forty-five hundreths
Step 2: 45/100
Step 3: 45/100= 9/20
Fraction->Percent
Step 1: Reduce fraction to the lowest terms
Step 2: Divide numerator by the denomenator
Step 3: Multiply by 100 OR move decimal two spaces to the right
Example: 9/12
Step 1: 9/12=3/4
Step 2: 3 divided by 4= .75
Step 3 (Way 1): .75 x 100= 75%
Step 3 (Way 2): .75 (.-->) 75%
Step 1: Reduce fraction to the lowest terms
Step 2: Divide numerator by the denomenator
Step 3: Multiply by 100 OR move decimal two spaces to the right
Example: 9/12
Step 1: 9/12=3/4
Step 2: 3 divided by 4= .75
Step 3 (Way 1): .75 x 100= 75%
Step 3 (Way 2): .75 (.-->) 75%