Rational and Irrational Numbers

Which among the following are rational numbers?

What is $0.00\overline{7}+17.\overline{83}+310.020\overline{2}$ equal to?

Decimal representation of a rational number can not be

Which one of the following is correct?

Decimal form of fraction $\frac{138}{25}$ is .......

If $x>3$, which of the following is equivalent to $\frac{1}{{\displaystyle \frac{1}{x+2}}+{\displaystyle \frac{1}{x+3}}}?$

Which concept makes the need for learning irrational numbers.

All real numbers are rational number.

If $x=0.\overline{7}$ then what is the value of $2x$?

The value of $$ 5.0\overline{432}$$ is 

The value of $\frac{4.\overline{35}}{7.\overline{45}}$ is 

The value of $4.\overline{432}+3.\overline{432}$ is 

Write $1.\overline{432}$ as a rational fraction.

Which one of the following has a terminating decimal expansion?

Identify the proper rational number of given terminating decimal: $4.23$

Calculate the following and check whether it is a rational number or not.

$\frac{5}{4}\times \frac{7}{6}=$_____

Write the following rational number as a fraction in it's simplified form.

$2.25$

Identify the following number as either rational or irrational. Explain your answer.

$15.15$

Select the correct alternative from the alternatives given against the following :
A terminating decimal is 

The standard form $\left(\frac{a}{b}\right)$ of the number  $0\overline{.9}$ is