Practice30 Create account

Express $0. \overline{45}$ as a rational number in lowest terms.

Class 8Rational Numbers as DecimalsRational Numbers

A $\frac{4}{9}$
B $\frac{9}{20}$
C $\frac{5}{11}$
D $\frac{45}{100}$

Step-by-Step Solution

x = 0.4545

… →

100 x = 45.4545

… →

99 x = 45

→

x = \frac{45}{99} = \frac{5}{11} . \frac{9}{20} = 0.45

ignores the repeating.

Answer: C)

\frac{5}{11}

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 Rational Numbers as Decimals practice questions

More Class 8 Rational Numbers as Decimals practice

Reena says 21/28 must give a recurring decimal because 28 has a factor 7. What is correct?In the long division of 2 by 11 shown, the remainders keep repeating. What is the…For which denominator will EVERY fraction (in lowest terms) give a terminating decimal?Ankit cuts 17 m of ribbon into 6 equal pieces for a school function. How long is each…In the table, which fraction gives a terminating decimal?