Multiple choice

Which of the following fractions has a non-terminating, non-repeating decimal expansion?

  1. $\frac{15}{40}$
  2. $\frac{1}{19}$
  3. $\frac{13}{20}$
  4. $\frac{1}{25}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The denominator of rational number $\frac{1}{19}$ is 19, which is not of the form 2n 5m (0 $\leq$ n, m < $\infty$). So, the rational number $\frac{1}{19}$ has a non-terminating, non-repeating decimal expansion. $\frac{1}{19}$= 0.05263157894…….