Question

Find the three rational numbers between 3/5 and 2/3?​

Answer 1

Step by Step Explanation: First we will make their denominators same so that we can find out that whether their is any rational no. between it or not.

So, the lcm of 5 and 3 is 15. Then we will make the denominators same, So first we will multiply 3/5×3 on both the sides to make the denominator same so it will become 9/15.

Then we will multiply 2/3×5 on both sides to make the denominator same so it will become 10/15

Now, there is no rational no. between 9/15 and 10/15

So, we will multiply 9/15 and 10/15 by 10.

So, 9/15×10= 90/150 and 10/15×10= 100/150

Now we can easily find out 3 rational numbers between 90/150 and 100/150

They are 91/150, 92/150 and 93/150

Note: You can take any three rational numbers between 90/150 and 100/150. The answer will always be right.