How do you Change a Decimal to a Fraction
Numbers that are not whole numbers or integers are expressed in two forms. One is called fraction form and the other is decimal form. The fraction form of a number tells you what parts are considered out of the total equal parts to indicate the value. But with the advancement in communication or working with numbers, we needed a form that will suit. That form is the decimal form which implicitly uses the powers of 10 as the number of equal parts. The numbers of considered parts are written as digits after a dot ‘·’, called as decimal point.
But when some quantity is expressed in fraction form or decimal form has to possess the same value. Even these days many understand the fraction form better. Therefore it is imperative to know how to convert decimals to fractions. That is, if you know the measure of a quantity in decimal you must be able to convert decimals to fractions.
Let us now study how to change a decimal to a fraction. As we mentioned earlier, the digits after the decimal point represent the number of parts out of the total number of parts. The total number of parts is the same as 10 to the power of number of digits. That is 0.2536 in fraction form is (2536)/(10000). In many cases, this fraction can be simplified to the lowest possible terms. Thus, this is the method of how to turn a decimal into a fraction.
There are certain tricky cases in converting decimals to fractions. Some decimals may have non terminating decimal terms. That is, there may be endless number of digits after the decimal point. Again there are two cases with non-terminating decimal terms. The digits of the terms may show a pattern or there may not be any pattern. If there is no pattern then the decimal terms beyond a predetermined decimal place may be ignored and the last digit to be considered may be suitably rounded. With this rounding, the decimal number can be changed into a fraction as per the method explained. Please express your views of this topic GCF Word Problems by commenting on blog.
How to Convert Decimal to Fraction if the non-terminating terms show a pattern? There is an interesting algebraic method is there to do that. The following is an example. How do you convert 0.23232323…. to a fraction?
Let x = 0.23232323….
So, 100x = 23 + 0.23232323…., which is 100x = 23 + x, which means 99x = 23 or x = (23)/(99)
Therefore, 0.23232323…. = (23/99)!
Numbers that are not whole numbers or integers are expressed in two forms. One is called fraction form and the other is decimal form. The fraction form of a number tells you what parts are considered out of the total equal parts to indicate the value. But with the advancement in communication or working with numbers, we needed a form that will suit. That form is the decimal form which implicitly uses the powers of 10 as the number of equal parts. The numbers of considered parts are written as digits after a dot ‘·’, called as decimal point.
But when some quantity is expressed in fraction form or decimal form has to possess the same value. Even these days many understand the fraction form better. Therefore it is imperative to know how to convert decimals to fractions. That is, if you know the measure of a quantity in decimal you must be able to convert decimals to fractions.
Let us now study how to change a decimal to a fraction. As we mentioned earlier, the digits after the decimal point represent the number of parts out of the total number of parts. The total number of parts is the same as 10 to the power of number of digits. That is 0.2536 in fraction form is (2536)/(10000). In many cases, this fraction can be simplified to the lowest possible terms. Thus, this is the method of how to turn a decimal into a fraction.
There are certain tricky cases in converting decimals to fractions. Some decimals may have non terminating decimal terms. That is, there may be endless number of digits after the decimal point. Again there are two cases with non-terminating decimal terms. The digits of the terms may show a pattern or there may not be any pattern. If there is no pattern then the decimal terms beyond a predetermined decimal place may be ignored and the last digit to be considered may be suitably rounded. With this rounding, the decimal number can be changed into a fraction as per the method explained. Please express your views of this topic GCF Word Problems by commenting on blog.
How to Convert Decimal to Fraction if the non-terminating terms show a pattern? There is an interesting algebraic method is there to do that. The following is an example. How do you convert 0.23232323…. to a fraction?
Let x = 0.23232323….
So, 100x = 23 + 0.23232323…., which is 100x = 23 + x, which means 99x = 23 or x = (23)/(99)
Therefore, 0.23232323…. = (23/99)!
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