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:
FRACTION PERCENTAGES HOW TO
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. Using our percent to fraction converter obviously means you need not worry about any of the above as all the conversion math is handled for you.A percentage is a value out of 100. You can also check out our fraction simplification calculator page for a more detailed explanation. What makes this calculation somewhat different is the simplification of the initial fraction, which requires finding the greatest common divisor first, then divide both the numerator and the denominator by it. If you are to imagine the fraction, resulting from the above calculation as a piece of cake or pizza, it would correspond to 1 piece out of 5, in which the whole is divided. Solution:Ģ0 / 100 = 0.20 decimal, simplifies to 1/5 Sample task: convert 20 percent to fraction. You can also make use of the conversion table provided for commonly encountered values. If this is not an option, or you are looking how to do the calculation yourself instead of using our calculator, then see the explanation and example below. It is often useful to be able to convert between percent and fraction, and this can easily be achieved using our online percent to fraction converter above. The fraction 1/2 (0.5) means that something is half of something else. A fraction is in itself just an expression of something as the equivalent number of parts of something else. Percent was previously written "per cent" and even before that "per centum", and since "centum" is a Latin word meaning "one hundred", it was pretty much self-explanatory that it is in fact just a fraction with a denominator of 100. Percentages see significant use in science, statistical data, and technical specifications, while ratios are usually used more in daily conversation, as they might be easier to interpret for most people, although there are differing opinions on the matter, while others consider difficulties in learning fractions a sign of mathematics learning disability. They are used to express rates and ratios, for example the ratio of people who know how to calculate percentages to fractions from the whole population can be expressed as a percent, e.g. Percentages are very common in our daily lives. Before we talk about percent to fraction conversion, such as is performed by our converter, it is useful to explain what percentages are, what fractions are, and why converting between them might be useful.
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