2. Find six rational numbers between 3 and 4.
Solution: We can find any number of rational numbers between two given rational numbers. To proceed with this, we make the denominators of the rational numbers similar by multiplying and dividing them by a suitable number. If the denominators are already the same, then depending upon the number of rational numbers to be found, we choose the numbers. To find six rational numbers between 3 and 4 let's follow the steps given below, 3 = 3 × (7/7) and 4 = 4 × (7/7) 3 = 21 / 7 and 4 = 28 / 7 Thus, we can choose 6 rational numbers as follows 22/7, 23/7, 24/7, 25/7, 26/7, and 27/7 lying between 3 and 4.
