Practice30 Create account

Which of the following rational numbers has a terminating decimal expansion?

Class 10Decimal ExpansionsNumber Systems

A $\frac{13}{40}$
B $\frac{11}{30}$
C $\frac{5}{6}$
D $\frac{7}{15}$

Step-by-Step Solution

40 = 2^{3} \times 5

, only 2 and 5 as prime factors, so

\frac{13}{40}

terminates. The others have factors 3, so they do not.

Answer: A)

\frac{13}{40}

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Decimal Expansions practice questions

More Class 10 Decimal Expansions practice

Which of the following rational numbers has a non-terminating recurring decimal expansion?How many digits are there after the decimal point in the terminating expansion of 3/8?The number 0.142857142857... (block 142857 repeating) is the decimal expansion of which…Without dividing, decide: does 23/2^2 × 5 have a terminating decimal expansion?Which decimal is irrational (non-terminating and non-recurring)?