![]() Here is another example of writing 11 out of 25 as a percentage without a calculator. The fraction 8 / 50 written as a percentage is 16%. We take the numerator of 16 and put a percentage sign after it. We can write 16 / 100 more easily at 16%. Now that our fraction is our of 100, it is a percentage.Ī percentage is just a fraction out of 100. We say that these fractions are equivalent. Ĩ / 50 is exactly the same amount as 16 / 100. When finding equivalent fractions, we need to multiply the numbers on top and bottom by the same amount.īecause we multiplied 50 by 2, we need to multiply 8 by 2 as well.Ĩ × 2 = 16 and so our fraction is now 16 / 100. We need to figure out how many times 50 divides into 100.ĥ0 × 2 = 100 and so, we multiply the denominator by 2. We need to multiply the 50 to make it 100. The first step is to write it as an equivalent fraction out of 100. We can see that it is out of 50, not out of 100. ![]() We will now look at examples of writing a fraction as a percentage without a calculator, where the fraction is not out of 100. We simply take the numerator on top of the fraction, which is 12, and write a percentage sign after it. If the fraction is already out of 100, then we simply write the numerator with a percentage sign after it.įor example, the fraction of 12 / 100 is already out of 100. Take this new numerator and write a % sign after it.Multiply the numerator (top) of the fraction by the same number.Multiply the denominator (bottom) of the fraction by a number to make the denominator equal 100.To convert fractions to percentages without a calculator, use the following steps: How to Convert a Fraction to a Percentage without a Calculator We can replace the word ‘percent’ with the words ‘out of 100’. The % sign can be thought of as meaning ‘out of 100’. The percent symbol, ‘%’ is often used instead of writing / 100. This can also be written as a fraction as 33 / 100. In our minds, we can replace the word ‘percent’ with the words ‘out of 100’.įor example, 33% just means 33 out of 100. The ‘per’ means ‘out of’ and the ‘cent’ means ‘100’. The word ‘percent’ is made up of two parts. The % symbol is a short way to write ‘out of 100’ as a fraction. We can write the number as a fraction out of 100 or we can use the % symbol. For example, 3/4 as a percentage is 75%.A percentage is a value out of 100. The above table can be used by selecting the fraction from the left column and finding the corresponding percentage from the right column on the same row. fraction to percent calculation table Fraction ![]() ![]() This table can be used as a reference for fractions commonly encountered in simple school or college math homework tasks. The result of the calculation in percent is 2.5/10*100 = 25%. Multiplying the numerator which is now 1, by 2.5, results in 2.5. To arrive at a denominator which is a power of 10, both can be divided by 3, resulting in 1/4, and then 4 can be multiplied by 2.5 to get 10. What percentage of the pizza remains? The remainder of the pizza is 12-9 = 3 pieces, so the fraction is 3/12. In another scenario, consider a pizza is split in 12 pieces and someone takes 9 of them. If we know that the a real estate agent's commission is 3/50 of a home's sale price, we can calculate that as a percentage by first multiplying both sides by two to get the denominator to be a power of 10 (100 = 10 2), so we get 6/100, then we divide by 100 to get the percentage, which is then 6/100*100, the one hundred's cancel out and we get 6%. Dividing the result by 100 and appending the percent sign (%) is then all that is needed. 1 for a denominator of 10, 2 for 100,, and so on). Then we can easily perform the division by shifting the decimal point the required number of places (e.g. In order to do this, we need to either multiply or divide both the numerator and denominator by a value such that the denominator becomes a power of ten. Since a percent is just a decimal number divided by one hundred, working backwards means that we need to first convert the fraction to a decimal. How to convert a fraction to a percentage?
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