Convert Decimals to Percents and Fractions Worksheets For This Skill More Skills Free Online Tests Trial

To convert a decimal to a percent, multiply the decimal by 100, in other words, move the decimal point two places to the right. Do not forget to affix the percent sign.

To convert a decimal to a fraction, you need to find out how many digits there are in the decimal fraction part. The denominator is 10 if the number of digits in the decimal fraction is 1; the denominator is 100 if the number of digits in the decimal fraction is 2; the denominator is 1000 if the number of digits in the decimal fraction is 3, so on so forth. The numerator is a number with the same digits as the decimal fraction part. Reduce the answer to its lowest terms if necessary. If the decimal is a mixed one, meaning that its whole number part is greater than 0, then you are going to get a mixed fraction with the same whole number.

Example: convert 0.653 to a percent and a fraction
To convert 0.653 to a percent, multiply 0.653 by 100, we get 65.3, so 0.653 = 65.3%
To convert 0.653 to a fraction, put 653 over 1000 since there are 3 digits after the decimal point in 0.653. Therefore, 0.653 converted to a fraction is .

Convert Fractions to Decimals and Percents Worksheets For This Skill More Skills Free Online Tests Trial

To convert a fraction to a decimal, you need to divide the numerator by the denominator until there is no remainder or you get one more decimal place than you were asked to get. Round off the quotient to the decimal place desired.

Example: convert to a decimal, rounded to the nearest thousandth.
We need to find out how much is 64 divided by 116 using long division. Continue the long division procedure until you reach the ten-thousandth place. The quotient turns out to be 0.5517 . Since the digit in the ten-thousandth place is 7, bigger than 5, we add 1 to the digit in the thousandth place and we end up with the decimal number 0.552 . Therefore, converted to a decimal is 0.552 .

There are two methods to convert a fraction to a percent. The first one is to convert the fraction to a decimal and then convert that decimal to a percent. Generally you apply this method.

Example: convert to a percent.
Since converted to a decimal is 0.552 , we just need to convert 0.552 to a percent. 0.552 multiplied by 100 is 55.2 , so 0.552 = 55.2% . Therefore, converted to a percent is 55.2% .

The second method is designed for fractions whose denominator is either a multiple or a factor of 100. If the denominator is a multiple of 100, e.g., 1000, divide the numerator by 10, and then affix the percent sign to the quotient. If the denominator is a factor of 100, e.g., 25, multiply the numerator by 4, and then affix the percent sign to the product.

Example: convert to a percent.
Since the denominator 1000 is a multiple of 100, we can divide both the numerator and denominator by 10. The new denominator is exactly 100 and the new numerator is 3.1 . Therefore, converted to a percent is 3.1%.

Example: convert to a percent.
Since the denominator 25 is a factor of 100, we can multiply both the numerator and denominator by 4. The new denominator is exactly 100 and the new numerator is 48 . Therefore, converted to a percent is 48%.

Convert Percents to Decimals and Fractions Worksheets For This Skill More Skills Free Online Tests Trial

To convert a percent to a decimal, divide the percentage number by 100 and take off the percent sign. If the percentage number is a decimal numeral, move the decimal point two places to the left in the original number. If the original number is a whole number without a decimal point, put a decimal point between the thousand place and the hundred place.

Example: convert 45% to a decimal
To convert 45% to a percent, divide 45 by 100, we get 0.45, so 45% = 0.45

Example: convert 56.9% to a decimal
To convert 56.9% to a percent, divide 56.9 by 100, we get 0.569, so 56.9% = 0.569

To convert a percent to a fraction, write a fraction whose numerator is the percentage number and whose denominator is 100. If the numerator is a decimal numeral, multiply the numerator by a multiple of 10 so that the numerator becomes a whole number. To keep the value of the fraction unchanged, you need to multiply the original denominator, i.e., 100, by the same multiplier applied to the numerator. Reduce the answer to its lowest terms if necessary.

Example: convert 65.3% to a fraction

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