![]() For example, to see what is 0.5 as a fraction, look at the row at which the decimal value is 0.5 and check the "Fraction" column to its right for the value (1/2 in this case). The above table can be used by selecting the decimal number from the left column and finding the corresponding fraction from the right column on the same row. decimal to fraction calculation table Decimal Decimal to fraction conversion tableĪ reference for some common values that one may encounter often in converting a decimal to a fraction. The whole part can be extracted (1), and so the calculation result becomes 1 and 1/5, or 1 1/5. If the decimal is 1.2, the resulting fraction is 12/10, or 6/5. If the decimal value is greater than one or smaller than minus one, the fraction may need to be further processed to arrive at a mixed fraction with a whole and a fraction part. In this case this is 2, so the simpified fraction is 1/5. This is already a good solution, but if a simplified fraction is needed, the greatest common divisor needs to be identified and then both sides need to be divided by it. In this case the number is 1, so it is simply 2 divided by 10, or 2/10 as a fraction. First, express it as a fraction with base 10 times the number of significant figures to the right of the decimal point (or comma). If the decimal value is 0.2, the corresponding fraction can be calculated by using this algorithm. This fraction can then be simplified, expressed as a mixed fraction, and so on as explained in the examples below. Hence the end result is the original number multipled by 10 N over 10 N. ![]() Using long division to solve this problem by hand or in your head, reducing 9/12 3/4, might make the problem easier. You can reduce the fraction to lowest terms first to make the long division math a bit easier. As the denominator write down 10 to the power of N, where N is the number of significant digits after the decimal point. Complete the division to convert the fraction to a decimal. Then write that number down as the fractions's numerator. Simply take the number and multiply it by 10 to the power of as many times as needed to leave no significant figures behind the decimal point (N). How to convert decimal numbers to fractions?Ĭalculating a fraction from a decimal is a straightforward process. How to convert decimal numbers to fractions?.
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