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Do a division with denominator 11.
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How do i convert a decimal into a fraction?
The following procedure is for converting a general repeating decimal, that is, one which does not start repeating straight away. 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, and then 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 10^c*(10^d - 1), which is a string of d 9s followed by c 0s.Example123.26159159… 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 of the fraction is 12326159 – 12326 = 12313833and the denominator is 99900Therefore the fraction is 12313833/99900.
How do I convert a fraction Into a decimal?
The following procedure is for converting a general repeating decimal, that is, one which does not start repeating straight away. 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, and then 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 10^c*(10^d - 1), which is a string of d 9s followed by c 0s.Example123.26159159… 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 of the fraction is 12326159 – 12326 = 12313833and the denominator is 99900Therefore the fraction is 12313833/99900.
How do i convert a repeating decimal into a fraction?
The following procedure is for converting a general repeating decimal, that is, one which does not start repeating straight away. 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, and then 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 10^c*(10^d - 1), which is a string of d 9s followed by c 0s.Example123.26159159… 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 of the fraction is 12326159 – 12326 = 12313833and the denominator is 99900Therefore the fraction is 12313833/99900.
How do you Convert repeating non terminating decimal to a fraction?
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.
How can you change a repeating decimal into a fraction?
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, and then you get a repeating pattern of strings 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 10^c*(10^d - 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 – 123216 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900.
What is 2 over 7 written as a decimal?
5
How do I convert a fraction Into a decimal?
The following procedure is for converting a general repeating decimal, that is, one which does not start repeating straight away. 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, and then 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 10^c*(10^d - 1), which is a string of d 9s followed by c 0s.Example123.26159159… 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 of the fraction is 12326159 – 12326 = 12313833and the denominator is 99900Therefore the fraction is 12313833/99900.
How do i convert a decimal into a fraction?
The following procedure is for converting a general repeating decimal, that is, one which does not start repeating straight away. 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, and then 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 10^c*(10^d - 1), which is a string of d 9s followed by c 0s.Example123.26159159… 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 of the fraction is 12326159 – 12326 = 12313833and the denominator is 99900Therefore the fraction is 12313833/99900.
How do you know if a decimal is terminating or repeating?
If you know what rational fraction it represents then, if the denominator in the fraction's simplest form has any prime factor other than 2 and 5, then it is a repeating decimal and if not it is terminating.Otherwise you need to examine the digits of the decimal representation in detail. Remember though, that the repeating string could be thousands of digits long (or even longer).
What examples represents a repeating decimal?
Any rational fraction such that, in its simplest form, the denominator contains a prime factor other than 2 and 5 will be a repeating decimal.
How do i convert a repeating decimal into a fraction?
The following procedure is for converting a general repeating decimal, that is, one which does not start repeating straight away. 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, and then 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 10^c*(10^d - 1), which is a string of d 9s followed by c 0s.Example123.26159159… 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 of the fraction is 12326159 – 12326 = 12313833and the denominator is 99900Therefore the fraction is 12313833/99900.
How would you convert a repeating decimal to a rational number?
Suppose there are c digits after the decimal place where the digits are non-repeating, and then 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 10^c*(10^d - 1), which is a string of d 9s followed by c 0s.For example123.26159159… 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 = 12313833and the denominator is 99900Therefore the fraction is 12313833/99900.
How do you change 0.363636363636 into a fraction?
If that is a terminating decimalthen put the digits after the decimal point over 1 followed by the same number of zeros as digits after the decimal point and simplify:0.363636363636 has 12 digits, so put over 1 followed by 12 zeros:0.363636363636 = 363636363636/1000000000000= 90909090909/250000000000If that is a repeating decimal (as in 0.363636...)then put the repeating digits over the same number of nines and simplify: 0.363636... has 2 repeating digits (36), so put them over 2 nines (99):0.363636... = 36/99= 4/11
How do you turn a decimal to its simplest form then into a fraction?
To convert a decimal to a faction in its simplest form depends on the decimal: 1) If it is a terminating decimal, place the decimal over a 1 followed by the same number of 0s as digits in the decimal and then divide top and bottom by common factors until their only common factor is 1 - these divisions can be done in one step by dividing by their highest common factor. Every digit after the decimal point counts, including zeros between the decimal point and the first non-zero number. eg 0.75 has 2 digits after decimal point → 0.75 = 75/100 = 15/20 (divide by common factor 5) = 3/4 (divide by common factor 5); it can be done in one step by dividing by 25: 75/100 = 3/4 - divide by hcf(75, 100) = 25. eg 0.02 also has 2 digits after the decimal point → 0.02 = 02/100 = 2/100 = 1/50. 2) If it is a repeating decimal, place the repeating digits over the same number of 9s as the number of repeating digits and simplify as above. eg 0.242424... has 2 repeating digits (24) → 0.242424... = 24/99 = 8/33 eg 0.027027027... has 3 repeating digits (027) → 0.027027027... = 027/999 = 27/999 = 1/37 3) If it has a number of non-repeating digits before repeating digits, then a combination of 1 and 2 is used: put the non-repeating digits over a 1 followed by the same number of 0s as the number of digit, add the fraction formed by the repeating digits over the same number of 9s as the repeating digits followed by the same number of 0s as in the first fraction, and simplify the result. eg 0.08333... has 2 digits (0.08) followed by 1 repeating digit (3) → 0.08333... = 08/100 + 3/900 = 72/900 + 3/900 = 75/900 = 1/12 4) Any non-terminating, non-repeating decimal is irrational and cannot be converted into a fraction. eg √2 (= 1.41421...) cannot be represented as a fraction; eg π (= 3.14159...; pi - the ratio of a circle's circumference to its diameter) cannot be represented as a fraction.
How do you Convert repeating non terminating decimal to a fraction?
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.
How do turn a repeating decimal to a fraction?
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, and followed by 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 10^c*(10^d - 1), which is a string of d 9s followed by c 0s.For example123.26159159… 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 = 12313833and the denominator is 99900Therefore the fraction is 12313833/99900.
How can you change a repeating decimal into a fraction?
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, and then you get a repeating pattern of strings 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 10^c*(10^d - 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 – 123216 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900.
