DecimalFractionPercent

Definition / Summary / How To / Steps **Cool fact! //cent//** means 100 in french!

1.If there is 2 digits, **make the number out of 100** 2.If there is 3 digits, make it out of 1000 3.If there is 4 digits, make it out of 10000 So, for every digit over 2 digits, add a zero to the number it is out of.
 * Percent to Fraction**

1. Make an equivilanent fraction that the denominator is 100, 1000, 10000, etc 1.Take the numerator and put a decimal point in front of it. Example: 86/100= .86 1. Take the numerator and put a 0 in front of it←Only do this if it is a 2 digit numerator 2. Put a deicimal in front of that Example: 742/1000= .742 Example 2: 64/1000= .064
 * Converting a fraction to a decimal**
 * If the denominator is 100** :
 * If the denominator is 1000 ** :

** Converting a fraction to a percent ** Way 1: 1. Make an equivilanent fraction that the denominator is 100 2. Take the denominator away and put a percent sign after the numerator Example: 7/10=70/100=70% Way 2: 1. Convert the fraction into a decimal 2. Convert the decimal to a percent Example: 22/50= .44= 44% Converting a percent to a decimal ** 1. Take the percent sign away 2. Put a decimal before the numbers Example: 16%= .16 3. If it already has a decimal in it, take the percent sign away and move the decimal to the front Example: 54.7%= .547
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 ** Converting a decimal to a percent ** 1. Take the digits of the decimal and put a percent sign after it Example: .12= 12% 2. If it has more than 2 digits, add a decimal point after the first 2 digits Example: .1578= 15.78%

Easy Problems

Fraction to Percent: 3/50 = ? Answer: 6% Explanation: Make 3/50 into a porportion with x/100 (3/50=x/100) 50 multiplied by 2 gets you to a hundred, so now you do the same to the 3. (50*2=100/3*2=6) The answer becomes 6/100. Now that the fraction is out of a hundred you just take the numerator (6) and add a percent sign on the right (6%).

Percent to Decimal: 50% = ? Answer: 0.5 Explanation: The percent sign becomes a decimal (50.) Then you move the decimal two places to the left (.50) The added 0 can be deleted (.5)

 Medium Problems

Percent to Decimal: 8% = ? Answer: 0.08 Explanation: The percent sign becomes a decimal (8.) Then you move the decimal two places to the left (.08)

Decimal to Percent: .05 = ? Answer: 5% Explanation: The decimal moves two places to the right (5.) Then you change the decimal to a percent sign. (5%)

Hard Problems Percent to Fraction: 30% = ? Answer: 30/100 Explanation: Since percents are usually already out of 100, you just need to take the number and add the /100. The answer becomes 30/100

Pictures

converting fraction to decimal [online image] Available [|www.goodworkbooks.com] 1/11/10

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