Question

which one of the represent the non - terminating repeating decimal ?
a)204/255
b)9000/27
c)378/432
d)2431/4420​

Answer 1

Answer:

9000÷27 is the answer of the question.

Step-by-step explanation:

9000÷27= 333.333333.

Mark my answer as brainliest.

Answer 2

Answer:

If your first thought is that we will simply divide the numerator by the denominator in each case and figure out which terminates and which doesn’t, you must realize that that is a very time consuming process. There has to be another logical approach to this problem. Well, here it is:

A fraction in its lowest term can be expressed as a terminating decimal if and only if the denominator has powers of only 2 and/or 5. Let’s try to understand the logic behind it.

Say, a and b are two integers.

a/b = a * 1/b

For a/b to be terminating, 1/b must be a terminating decimal. What happens when you start dividing 1 by b? You add a decimal point and start adding 0s. You will get 1 followed by as many 0s as you require in the numerator.