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When you get a repeating decimal when dividing, it means that the decimal representation of the quotient has a repeating pattern of digits. This occurs when the divisor (the number you're dividing by) is not a factor of 10, leading to a situation where the division process does not result in a clean, terminating decimal. The repeating decimal is a way to represent the fraction that results from the division in a concise form.
Any TERMINATING decimal can be written as a fraction with a denominator that is a power of 10 - which has the prime factors 2 and 5. Therefore, any fraction (in simplest terms) must have a denominator which is only made up of the prime factors 2 and 5. Any other factor, and the fraction will not be terminating.As to why it repeats, that's because in the division, there are only so many options. For example, if you divide by 7, the remainder, in each step of the division, can only be a number between 1 and 6. Eventually, the pattern will repeat.
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How do you turn 8 out of 15 into a decimal?
Divide 8 by 15 and that would be your decimal. .533 repeating 3
How do you make five sixths into a decimal?
0.83333 repeating
What is 26 with the 6 repeating as a fraction?
its 26 6/9, any time you want a repeating decimal just divide it by 9
Is 125 a repeating decimal?
No, 125 is not a repeating decimal. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. In the case of 125, it is a whole number and does not have any decimal places or repeating patterns. It can be written as 125.0000, but it is still a non-repeating decimal.
What is one over three as a decimal?
1/3 = .33333 (repeating decimal). All you had to do was divide 3 into 1, and .333 would be the result.
How can you get a repeating decimal?
Divide 100 by 3
What is 4 over fifteen as a decimal?
Divide 4 by 15. Therefore, the decimal is 0.266666667
How do you turn 8 out of 15 into a decimal?
Divide 8 by 15 and that would be your decimal. .533 repeating 3
Which fraction can be expressed as a repeating decimal 1/10 1/4 3/5 7/9?
7/9 To get this result, divide the numerator by the denominator. The term "repeating decimal" refers to a decimal that keeps repeating and does not stop.
How do you make five sixths into a decimal?
0.83333 repeating
What is 5 over 12 in a decimal?
0.4166666666 repeating to solve this, divide 5 by 12
What is 26 with the 6 repeating as a fraction?
its 26 6/9, any time you want a repeating decimal just divide it by 9
What is a reoccurring decimal?
Convert 1/3 to a decimal. It doesn't divide neatly. 0.3333 and the threes keep on going.The decimal is said to be recurring or repeating.
Is 125 a repeating decimal?
No, 125 is not a repeating decimal. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. In the case of 125, it is a whole number and does not have any decimal places or repeating patterns. It can be written as 125.0000, but it is still a non-repeating decimal.
What is terminating decimal and repeating decimal?
A terminating decimal is a decimal number that ends, or terminates, after a certain number of decimal places. For example, 0.75 is a terminating decimal because it ends after two decimal places. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. For example, 0.333... is a repeating decimal because the digit 3 repeats infinitely.
What is 7/9 as a decimal?
0.7778
What is one over three as a decimal?
1/3 = .33333 (repeating decimal). All you had to do was divide 3 into 1, and .333 would be the result.
