# Ex.1.1 Q2 Number System Solution - NCERT Maths Class 9

## Question

Find six rational numbers between **\(3\)** and **\(4\)**.

## Text Solution

**Steps:**

We can find any number of rational numbers between two rational numbers. First of all we make the denominators same by multiplying or dividing the given rational numbers by a suitable number. If denominator is already same then depending on number of rational no. we need to find in question, we add one and multiply the result by numerator and denominator.

\[\begin{align} 3&=\frac{3\times 7}{7}\,\,\,\text{and}\,\,\,\,\,4=\frac{4\times 7}{7} \\ 3&=\frac{21}{7}\,\,\,\,\,\,\,\,\,\text{and }\,\,\,\,4=\frac{28}{7} \\ \end{align}\]

We can choose **\(6\)** rational numbers as:

\[\begin{align}\frac{22}{7},\frac{23}{7},\frac{24}{7},\frac{25}{7},\frac{26}{7}\,\,\text{and}\,\,\frac{27}{7}\end{align}\]