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.
Divide 8 by 15 and that would be your decimal. .533 repeating 3
0.83333 repeating
its 26 6/9, any time you want a repeating decimal just divide it by 9
1/3 = .33333 (repeating decimal). All you had to do was divide 3 into 1, and .333 would be the result.
To convert a fraction to a decimal, divide the top number by the bottom number.
Divide 100 by 3
Divide 4 by 15. Therefore, the decimal is 0.266666667
Divide 8 by 15 and that would be your decimal. .533 repeating 3
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.
0.83333 repeating
0.4166666666 repeating to solve this, divide 5 by 12
its 26 6/9, any time you want a repeating decimal just divide it by 9
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.
0.7778
To convert the fraction 19/6 to a decimal, you divide 19 by 6. The result is 3.166666..., with the 6 repeating indefinitely. This can be rounded to 3.17 if needed.
1/3 = .33333 (repeating decimal). All you had to do was divide 3 into 1, and .333 would be the result.
Divide 4 by 9. The answer is 0.44444 and the 4's will keep going forever. That's a repeating decimal. It doesn't have to be just one number. 17 divided by 27 is 0.629629629 and the 629's repeat forever. A terminating decimal stops. 3 divided by 8 = 0.375