![]() For example, if we need to multiply 500 × 4000, and the number of zeros seem overwhelming, then the numbers can be written as $$ 500 × 4000 = 5 × 10^2 × 4 × 10^2 $$ This is easier to enter in calculators as we would not have to write down all the decimal places.ģ) In physics problems, while dealing with lots of whole numbers, it is best to express them as fractions.Ĥ) However, when we are working with large numbers and scientific notations, decimals are preferred. It is more convenient to denote the decimal number 1.666 □□ 1(2/3). This is especially true for the case of recurring decimals. Therefore, operations and comparisons of decimal numbers is quite straightforward.Ģ) In some cases, the fraction notation is much more useful. $$ 1.625 = $$ĭecimal to fraction conversions (and vice versa) arise in different situations in science and technology.ġ) It is much easier to do arithmetic operations using decimals compared to fractions, as we do not need to find the LCM. This can be done by writing the numerator as the decimal number itself and the denominator as 1. Given below are the steps to convert this decimal to a fraction.ġ) Write the decimal number in the form of a fraction. Combining these two together gives the mixed fraction 1 ½, which indicates one whole pizza and ½ part of another pizza.Ĭonsider the fraction 1.625. The one whole pizza represents the whole number, which is 1 in this case, and ½ is the fractional part. Suppose one whole pizza and one half of another pizza have been given as shown here. As a fraction, this can be written as 75/100, which is equivalent to ¾ in its simplest form.Ĭonsider a pizza cut into 4 slices. So, ‘a’ is the whole number ‘b’ is the decimal part. They are represented in the form a.b, where the whole number part and the fractional part are separated by a decimal point. It is an alternative representation for fractional numbers. Since the numerator is lesser than the denominator, it is a proper fraction.Ī decimal number is a non-integer number, and it has a decimal point. Mixed fraction, where 2 is the whole number and ¼ is the fractional part. A mixed fraction (also called a mixed number) is a fraction which has a whole part and a fractional part. In a proper fraction, the numerator is lesser than the denominator, whereas it is the opposite for an improper fraction. Fractions are of three types: Proper fraction, improper fraction and mixed fraction. 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).A fraction is a number of the form a/b, where b ≠ 0. 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. As the denominator write down 10 to the power of N, where N is the number of significant digits after the decimal point. 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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