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How you would convert the repeating non terminating decimal to a fraction explain the process as you solve the problem 0.1515?
Wiki User
∙ 11y ago
I assume you mean 15 recurring indefinitely. This would be 0.15 x (1 + 0.01 + 0.0001 +....) The thing in brackets is an infinite geometric series with ratio 0.01 and the summation to infinity of that is 1/(1-0.01) or 1/0.99. So you finish up with 0.15/0.99 which is 15/99 or 5/33 . For things with a single digit repetition like 0.22222... you would use the series (1 + 0.1 + 0.01 .....) which is 1/(1-0.1) or 10/9 so you would get 0.2 x 10/9 which is 2/9 .
Wiki User
∙ 11y ago
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Is the fraction 13 a terminating or repeating decimal?
It is a repeating decimal.
Does 4 11 convert to a terminating or repeating decimal?
4/11 is a repeating decimal.
Who of the following cannot be written as a fraction an integer a terminating decimal a repeating decimal and a non-terminating non repeating decimal?
The latter which would be an irrational number that cannot be expressed as a fraction.
Can every rational fraction be written as a repeating decimal?
Any rational number is either a repeating decimal, or a terminating decimal.
Does the sum of a repeating decimal and a terminating decimal equal a terminating decimal?
No, the sum of a repeating decimal and a terminating decimal is never a terminating decimal.
Is the fraction 13 a terminating or repeating decimal?
It is a repeating decimal.
Is 0.875 a terminating or a repeating decimal?
0.875 is a terminating decimal and as a fraction it is 7/8
How do you determine whether you can write a given decimal as a fraction?
If the decimal is terminating or repeating then it can be written as a fraction. Decimal representations which are non-terminating and non-repeating cannot be expressed as a fraction.
Does 4 11 convert to a terminating or repeating decimal?
4/11 is a repeating decimal.
Who of the following cannot be written as a fraction an integer a terminating decimal a repeating decimal and a non-terminating non repeating decimal?
The latter which would be an irrational number that cannot be expressed as a fraction.
How do you cover a negative fraction into a terminating decimal?
A negative fraction need not be a terminating decimal. For example, -2/3 = -0.66... (repeating).
Can every rational fraction be written as a repeating decimal?
Any rational number is either a repeating decimal, or a terminating decimal.
Does the sum of a repeating decimal and a terminating decimal equal a terminating decimal?
No, the sum of a repeating decimal and a terminating decimal is never a terminating decimal.
Is 0.66 a terminating or repeating decimal?
It is terminating - after two decimal digits.
How do you convert 0.2 a repeating decimal into a fraction?
0.2 a repeating decimal into a fraction = 2/9
What is a terminating fraction?
To sum this answer up you half to turn the fraction into a decimal and if it ends that is terminating but if it keeps going it is called a repeating decimal EXAMPLES Terminating- 5/10=.5 Repeating- 1/3=.3333 (bar notation over the 3)
Does 1/9 convert to a repeating or terminating decimal?
0.1111
