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How to create n equivalent representation for a fraction when given the decimal?
Wiki User
∙ 6y ago
There are three different situations, corresponding to the three types of decimal numbers: terminating, repeating and those which are neither terminating nor repeating. Terminating: If the decimal number has d digits after the decimal point, then rename it as a fraction whose numerator is the decimal number without the decimal point, and the denominator is 10d or 1 followed by d zeros. For example, 34.567 d = 3 so the denominator is 1000. and the fraction is 34567/1000. Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, after which you get a repeating pattern of a string of d digits. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is 10c*(10d - 1), which is a string of d 9s followed by c 0s. For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 12326 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900. Non-terminating and non-repeating: There is no way to get a proper fraction since, by definition, this is an irrational number. The best that you can do is to round it to a suitable number of digits and then treat that answer as a terminating decimal. In all cases, you should check to see if the fraction can be simplified.
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∙ 6y ago
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How do you create an equivalent representation for a fraction when given the decimal?
Do the division. 27/48 = 27 divided by 48 = 0.5625
How do you create an equivalent representation for a percent when giving the fraction?
To change a fraction into percent: - Perform the division indicated by the fraction. - Multiply the quotient by 100.
Describe how to create an equivalent representation for a fraction when given the percent?
Percent literally means divide by one hundred. So divide the number by 100 and then bring that fraction to lowest terms.
How do you create an equivalente representation for a decimal when given the fraction?
To convert a fraction into a decimal divide the numerator (top number) by the denominator (bottom number). When the fraction is as simple as possible (no common factor between the numerator and denominator other than 1) and the denominator has any prime factor other than 2 and 5, the resulting decimal will be recurring.
How do you produce an irrational number with no zeros in it?
The number sqrt(2) has no zeros in it, only the digit 2!If you mean that the decimal representation has no 2 in it, you could create an infinite decimal fraction by selecting, at random, a digit from the set {1,2,3,...,9}. Clearly it cannot have a 0 in it and, thanks to the randomness, it will be irrational.
How do you create an equivalent representation for a fraction when given the decimal?
Do the division. 27/48 = 27 divided by 48 = 0.5625
How do you create an equivalent representation for Percent when given the decimal?
Multiply the decimal by 100 as for example 0.75 = 75%
How do you create an equivalent representation for a percent when giving the fraction?
To change a fraction into percent: - Perform the division indicated by the fraction. - Multiply the quotient by 100.
How do you create an equivalent representation for a decimal when given the percent?
you take the decimal and change it into a percent by moving the decimal 2 times to the rightDivide by 10034% = 0.34
how to change a decimal to a equivalent fraction?
place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
Describe how to create an equivalent representation for a fraction when given the percent?
Percent literally means divide by one hundred. So divide the number by 100 and then bring that fraction to lowest terms.
How do you create an equivalente representation for a decimal when given the fraction?
To convert a fraction into a decimal divide the numerator (top number) by the denominator (bottom number). When the fraction is as simple as possible (no common factor between the numerator and denominator other than 1) and the denominator has any prime factor other than 2 and 5, the resulting decimal will be recurring.
What an equivalent decimal for 0.10?
To create an equivalent decimal, simply add additional zeros to the end. 0.100, 0.1000 and 0.10000 are all equivalent to 0.1
Describe how to create an equivalent representation for a decimal when given the fraction?
each decimal has its own value as a fraction. for example 0.1 is also the same as 1/10 because the one is in the tenths place. this is one of the most important rules of place value. another example can be "write 3.293 as a fraction." when looking at it first it may seem complicated but when you know the steps, it is as easy as 1, 2, 3. 3 is the whole number in the decimal. 2 is in the tenths postion, 9 in the hundredths and 3 in the thousandths. so the numerator is 293. to find the denominator, you have to count the numbers after the decimal point - there are three, and that is how many zeros you add to the one. the fraction therefore is 3293/1000
How do you produce an irrational number with no zeros in it?
The number sqrt(2) has no zeros in it, only the digit 2!If you mean that the decimal representation has no 2 in it, you could create an infinite decimal fraction by selecting, at random, a digit from the set {1,2,3,...,9}. Clearly it cannot have a 0 in it and, thanks to the randomness, it will be irrational.
How do you create an equivalent fraction?
Multiply the numerator and the denominator by the same integer.
How do you create an equivalant represenation for a decimal when given the fraction?
Perform the division of (numerator) divided by (denominator).
