Question

which of the following number represents a non terminating repeating decimal?A) 39/24 B) 3/16 c) 3/11 D) 137/ 25

Answer 1

OPTION (C) IS THE ANSWER THAT IS 3/11.

Answer 2

Answer:

$\frac{3}{11}$is a non terminating repeating decimal.

So option C is the correct answer.

Step-by-step explanation:

Here given four fraction.

We want to find which number represents a non terminating repeating decimal.

By option test we can solve this problem.

For option A:

$\frac{39}{24} \\ = \frac{3 \times 13}{3 \times 8} \\ = \frac{13}{8} \\ = 1.625$

For Option B:

$\frac{3}{16} = 0.1875$

For option C:

$\frac{3}{11} = 0.27272727......$

For option D:

$\frac{137}{25} = 5.48$

Here 1.625,0.1875 and 5.48 all have an end term but 0.272727...... don't has an end term.

By definition of non-terminating decimals,

Which decimal digit don't has any end term that is called non-terminating decimals.

So,

$\frac{3}{11} = 0.272727.....$is representing a non terminating repeating decimal.