Let n = 0.0123456789 recurring 1010n = 123456789.0123456789 recurring 1010n - n = 123456789 9999999999n = 123456789 n = 123456789/9999999999 = 0.0123456789 recurring Therefore the recurring decimal 0.0123456789 expressed as a fraction is 123456789/9999999999. Check it out on your calculator.
How can only the 2 & 9 recur? Do you mean: 0.269292929... = 26/100 + 92/9900 = 1333/4950 Or do you really mean that the decimal is 0.269269269... (which would be written with the recurring indicating dots over the 2 & 9 to indicate that '269' is the string of digits repeating) = 269/999
BRO ITS A DECIMAL POINT
7/9 as a fraction becomes 0.777... as a decimal . It repeast to infinity. NB The three dots/stops/periods at the end of the decimal, indicate to mathematicians that it is a decimal repeating to infinity.
A numeral used to indicate a count, particularly of the equal parts in a fraction. A numerator is the number on top of the fraction. For example, in 3/4, 3 is the numerator and 4 is the denominator.
2/6 can be simplified to 1/3 but this has no effect on the decimal equivalent which is 0.333333...... (with the number 3 going on indefinitely). This is said to be a recurring decimal number and is written with a line over the recurring portion to indicate that it is repeated indefinitely. In this case, the decimal number would be written 0.3 (with a line over the figure 3).
Assuming the repeated threes indicate a recurring number, expressed as a mixed number in its simplest form, 13.3 recurring is equal to 13 1/3 or thirteen and one third.
How can only the 2 & 9 recur? Do you mean: 0.269292929... = 26/100 + 92/9900 = 1333/4950 Or do you really mean that the decimal is 0.269269269... (which would be written with the recurring indicating dots over the 2 & 9 to indicate that '269' is the string of digits repeating) = 269/999
4 over (or divided by) 18 is a fraction which is equal to 0.2... (where "..." indicates that the "2" is recurring; i.e. there are an infinite number of 2's after the decimal point). (Note: there is a special symbol to indicate that a digit is recurring but, as far as I am aware, it is not possible to use it on this website.)
Sometimes
Always.
Yes.
11 1/3 as a decimal is 11.333... NB The 'three dots' indicate that the decimals go to inifinity.
Because a fraction is defined by both, the numerator and the denominator.
Fraction
BRO ITS A DECIMAL POINT
0.121212 = 121212/1000000 = 30303/250000 If 0.121212 is meant to indicate 0.12 recurring, then Let D = 0.12.. 100*D = 12.12.. Subtracting the first from the second, 99*D = 12 so that D = 12/99 = 4/33
The question has already put the number in a recurring decimal form. It can be presented as 0.5216 with a line over the numbers 2,1 and 6 to indicate that those three numbers in that same sequence are repeated forever. This line is known as a vinculum. Earlier mathematics used dots above the number(s) to indicate those numbers that were recurring and this method is still seen and used.