Expressing Decimals as Rational Numbers

Q.

Represent 0.45 as a rational number.

1. $\frac{4}{5}$

2. $\frac{9}{2}$

3. $\frac{5}{4}$

4. $\frac{9}{20}$

Q.

1.666666...... is a rational number and can be expressed in $\frac{p}{q}$ form. Then p + q is ______.

1. 6

2. 7

3. 8

4. 9

Q.

If $x=0.\overline{18}$, which of the following statements are true?
(i) $100x=18.\overline{18}$
(ii) $100x-x=17.\overline{18}$
(iii) $99x=18$

1. (i) only

2. (i) and (iii)

3. (ii) only

4. (i) and (ii)

Q.

The decimal number 0.625 when expressed as a fraction is

1. 

2. 

3. 

4. 

Q.

Write the number $0.\overline{35}$ in the form $\frac{p}{q}$, where p and q are integers and $q\ne 0$, is

1. 

2. 

3. 

4. 

Q.

The $\frac{p}{q}$ form of $0.\overline{18}$ is ______ (where p and q are integers and $q\ne 0$) .

1. $\frac{1}{11}$

2. $\frac{2}{11}$

3. $\frac{4}{11}$

4. $\frac{3}{11}$

Q.

Express $\frac{1}{2}$ and $\frac{1}{4}$ on the number lines.

1. 

2. 

3. 

4. 

Q. How do you represent $0.3125$ in the form of $\frac{p}{q}$, where $p$ and $q$ are integers and $q$ is not zero?

1. $\frac{6}{20}$
2. $\frac{5}{25}$
3. $\frac{5}{16}$
4. $\frac{6}{18}$

Q. 0.12333... can be expressed in rational form as

1. $\frac{121}{900}$
2. $\frac{900}{111}$
3. $\frac{111}{900}$
4. $\frac{123}{10}$

Q. $\frac{p}{q}$ form of the number $0.123\overline{456}$, where p and q are integers and $q\ne 0$, is ____

1. $\frac{3333}{99000}$
2. $\frac{41111}{999000}$
3. $\frac{41111}{333000}$
4. $\frac{12333}{99000}$