Practice30 Create account

The number 0.142857142857... (block 142857 repeating) is the decimal expansion of which fraction?

Class 10Decimal ExpansionsNumber Systems

A $\frac{1}{7}$
B $\frac{1}{6}$
C $\frac{1}{9}$
D $\frac{2}{7}$

Step-by-Step Solution

\frac{1}{7} = 0.142857142857...

, a non-terminating recurring decimal with repeating block 142857.

Answer: A)

\frac{1}{7}

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

Without dividing, decide: does 23/2^2 × 5 have a terminating decimal expansion?Which decimal is irrational (non-terminating and non-recurring)?After how many places of decimal will the number 17/2^3 × 5^2 terminate?Which of these is NOT a terminating decimal?Which fraction has the LONGEST terminating decimal (most digits after the point)?