Which of the following fractions can be represented by a terminating decimal? A.8/5 B.8/3 C.1/11 D.4/9
Answer:
Option A.
Step-by-step explanation:
If a fraction p/q is in the simplified form, then it can be represented by terminating or non-terminating decimal.
If the denominator is 2, 5 or multiple of either 2 or 5, or both, then the fraction can represented by terminating decimal. Otherwise, the fraction can represented by non-terminating decimal.
Only in option A, the denominator is 5. So, only 8/5 an be represented by a terminating decimal.
\(\frac{8}{5}=1.6\)
\(\frac{8}{3}=2.666...\)
\(\frac{1}{11}=0.0909...\)
\(\frac{4}{9}=0.444...\)
Only 8/5 is terminating.
Therefore, the correct option is A.