Question

Without actually performing the long division, we can state that the following rational number will have a non-terminating repeating decimal expansion:

$\frac{77}{210}$

• A. True
• B. False

Answer 1

The correct option is A True

We can write

$\frac{77}{210}=\frac{7\times 11}{7\times 5\times 2\times 3}=\frac{11}{5\times 2\times 3}$

Since, There is 3 along with 5 and 2 in the Denominator the given rational Number can never be terminated