Fractions to percentages show work12/30/2023 By doing this we will stop any silly mistakes. An increase should result in an answer that is more than the original value given, whereas a decrease should be less. Using the above example again, we would see that 65% is equal to or 0.65 and we can just multiply either of these numbers by 400 to get the answer for 65%.Į we should take note as to which one is needed. Now since we require 65% we can simply times 4 by 65 to get this amount.Īnother way of finding a percentage of a quantity is to convert it into a fraction or decimal and then simply proceed as before. To do this we must first find 1% of 400, so by dividing 400 by 100 we get 1% to be 4. For example, we could work out the corresponding value for 1% and then multiply this by any number to get the percentage that we need. When it comes to finding a percentage of a given number or quantity, it is easiest to find a certain amount and then use this to find the percentage needed. Fractionįractions shown here are not necessarily in their lowest forms. The rules outlined above can clearly be seen. This is ok as a percentage does not have to be a whole number.īelow is a table that shows some conversions between decimals, fractions and percentages. This is ok as a percentage does not have to be less than 100.ī) Multiplying 0.29 by 100 gives the answer as 29%.Ĭ) 0.725 multiplied by 100 is equal to 72.5%. ExampleĬonvert the following decimals to percentagesĪ) Multiplying 1.83 by 100 gives the answer of 183%. Therefore, a decimal of 0.45 converts to a fraction by multiplying by 100, so we get 0.45 100 = 45%. Instead of dividing the number by 100 we must simply multiply by 100. If we were to solve a problem where we had to convert from a decimal to a percentage we can simply reverse the process that was outlined earlier for converting from a percentage to a decimal. Converting from a decimal to a percentage This can be done by multiplying both the top and bottom of the fraction by 5: now we can simply see that is equal to 85% since % means ‘out of 100’. To do this we must find a fraction that is equivalent to with a denominator of 100. This is done by the rules that we explored in the last module on equivalent fractions. This is because a percentage must be ‘out of 100’, therefore we must convert the fraction to have a denominator of 100 before we can change it to a percentage. If we wish to convert from a fraction to a percentage, we must do a little bit more work than if we were to convert the other way around. Converting from fractions to a percentage This is the same method used for any other percentage that we want to change to a decimal. So if we were to change 89% to a decimal we simply must calculate. It is fairly straightforward to convert a percentage to a decimal also we simply have to divide the percentage by 100. This then shows that we can very easily convert a percentage into a fraction by simply writing the number over 100. So if we wanted to denote 50 per cent we would write 50%, which is the same as 50 out of 100. The word ‘per cent’ really just means ‘out of 100’ so we know that a percentage is always related to 100. For example, 142857/999999 becomes 1/7.Percentages are used in much the same way as decimals and fractions in that they show a link between two values. If necessary, take the fraction to the lowest term.was multiplied by 100, so the denominator is 100 - 1 = 99. To determine the denominator (lower number), subtract 1 from the number you multiplied with.To determine the numerator (top number), subtract out the repeating portion of the decimal.is multiplied by 100 (10 to the power of 2) and we get 13.131313. Determine how many repeating decimals there are and then multiply the decimal by 10 n, where n is the number of repeating decimals. there are 2 repeating decimals (13 is repeating). A repeating decimal is one that has a sequence of numbers that continually repeat. Change a repeating decimal into a fraction.
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