Question

Which of the following are recurring decimals?

• A. 0.7777
• B. $\frac{7}{8}$
• C. 0.6666....
• D. $\frac{9}{11}$

Answer 1

Answer: (C), (D)

The correct options are
C 0.6666....
D $\frac{9}{11}$

If the denominator of a fraction cannot be written with a power of 10, then the decimal form of the fraction continues indefinitely. This type of decimal is called recurring decimal.

Here,
0.7777 does not contines indefinitely, it stops at one point. So, it is not a recurring decimal.

$\frac{7}{8}$ can be written as $\frac{875}{1000}=0.875$. So, this is also a not recurring decimal.

0.6666.... continues indefinitely. So, this is also a recurring decimal

The denominator of $\frac{9}{11}$ cannot be written as powers of 10. Therefore, this is also a recurring decimal.