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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.
Finally, you should check to see if the fraction can be simplified.
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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)
How are terminating decimals and repeating decimal reflected in fractions?
If a fraction, in its simplest form has a denominator whose only prime factors are 2 or 5, then the fraction is terminating. If the denominator has any other prime factor then the decimal is repeating.
