Question

Which of the following decimals cannot be converted into $\frac{p}{q}$ form ?

• A. 1.0696969......
• B. 3.7588909009000......
• C. 1.01001000100001.....
• D. 7.333333333.......

Answer 1

Answer: (B), (C)

1.01001000100001.....

Concept: The decimals which are non terminating and non repeating cannot be converted into fractions or $\frac{p}{q}$ form.

Option(a) i.e. 1.0696969...... is a non-terminating and repeating decimal number.

Option(b) i.e. 3.7588909009000...... is a non-terminating and non-repeating decimal number.

Option(c) i.e. 1.01001000100001..... is a non-terminating and non-repeating decimal number.

Option(d) i.e. 7.333333333....... is a non-terminating and repeating decimal number.