Question

Which of the following rational numbers has non terminating and repeating decimal expansion?

• A. $\frac{15}{1600}$
• B. $\frac{17}{6}$
• C. $\frac{23}{8}$
• D. $\frac{35}{50}$

Answer 1

The correct option is B $\frac{17}{6}$

A fraction can be expressed in the form terminating decimal if denominator can be expressed in the form of $2^n\times 5^m$ whee n amd m are integer.

Here we see that denominator all option except B can be expressed in the given form.

For example denominator of option $A=1600=2^6\times 5^2$

denominator of option $C=8=2^3\times 5^0$

denominator of option $D=50=2^1\times 5^2$

But we can express 6 in above format so correct answer will be option B