0
Call this number "x", equal to 0.166166166...
1000x = 166.166166166...
x = 0.166166166...
Subtract the second equation from the first, you get:
999x = 166
Solving for x:
x = 166/999.
Note: I multiplied by 1000, because three digits are repeating (and 1000 has 3 digits).
Wiki User
∙ 13y ago
Wiki User
∙ 9y ago166/199
Add your answer:
Earn +20 pts
What fraction will produce this recurring decimal . 7 1 2 8 8 8 8 8 8 8 8 8 8 8?
71,288,888,888,888/100,000,000,000,000 = 8,911,111,111,111/12,500,000,000,000The decimal recurring infinitely is equal to 802/1125.
Which denominators will produce recurring fractions?
The numbers that produce recurring numbers are: 3,6,7,9,11,12,13.. Hope this has helped you...
How do you change a rational number to a decimal?
Any fraction is a rational number and by dividing its denominator into its numerator will produce a decimal number as for example 3/4 = 0.75
What is the formula for adding fractions with variable?
In order to add a fraction to a variable the fraction must be converted to decimal as computers cannot understand fractions, thats why they have floating points. On the other hand you could produce an answer in decimal and then convert it into a fraction afterwards but it would be overly complicated for a program to do this. I suggest if you are seriously into this somewhat eccentric behaviour you should try the program Mathematica from Wolfram research which is very expensive.
How do you convert the decimal 8.06 into a fraction?
Multiply by the smallest integral power of 10 to produce an integer from the original number, then use the resulting integer over the power of ten as a fraction. In this specific instance 8.06 X 100 = 806; therefore, the fraction is 806/100 = 403/50 or 8 and 3/50.
What fraction will produce the recurring decimal .71288888888888?
891/1250 if you cut the repeats down
What fraction will produce 0.166166166 as a recurring decimal?
The number 0.166 recurring where the 166 recurs forever is expressed as a fraction 166/999 or one hundred and sixty-six nine hundred and ninety-ninths.
What fraction will produce this recurring decimal . 7 1 2 8 8 8 8 8 8 8 8 8 8 8?
71,288,888,888,888/100,000,000,000,000 = 8,911,111,111,111/12,500,000,000,000The decimal recurring infinitely is equal to 802/1125.
Which denominators will produce recurring fractions?
The numbers that produce recurring numbers are: 3,6,7,9,11,12,13.. Hope this has helped you...
How do you change a rational number to a decimal?
Any fraction is a rational number and by dividing its denominator into its numerator will produce a decimal number as for example 3/4 = 0.75
What types surface produce less fraction?
what types of surface produce less fraction
What fractions could become a repeating decimal?
Any fraction with a denominator which has a prime factorization that includes any prime other than 2 or 5, it can produce repeating decimals.If the prime factorization of the denominator does not include 2 nor 5 then the decimal representation will be a repeating decimal.
What is the formula for adding fractions with variable?
In order to add a fraction to a variable the fraction must be converted to decimal as computers cannot understand fractions, thats why they have floating points. On the other hand you could produce an answer in decimal and then convert it into a fraction afterwards but it would be overly complicated for a program to do this. I suggest if you are seriously into this somewhat eccentric behaviour you should try the program Mathematica from Wolfram research which is very expensive.
How do you change the decimal 4.64 into a fraction?
Multiply by the smallest integral power of 10 to produce an integer from the original number, then use the resulting integer over the power of ten as a fraction. In this specific instance, 4.64 = 464/100 or in lowest terms 116/25.
What does a negative exponent produce?
A fraction
How do you convert the decimal 8.06 into a fraction?
Multiply by the smallest integral power of 10 to produce an integer from the original number, then use the resulting integer over the power of ten as a fraction. In this specific instance 8.06 X 100 = 806; therefore, the fraction is 806/100 = 403/50 or 8 and 3/50.
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.
