Three Rational Numbers between -2 and 5

Rational numbers are numbers that can be expressed as a ratio of two integers. In other words, they can be written in the form of p/q, where p and q are integers and q is not equal to zero. In this question, we need to find three rational numbers between -2 and 5.

Step 1: Finding the midpoint

To find the rational numbers between -2 and 5, we first need to find the midpoint between these two numbers. The midpoint formula is (a+b)/2, where a and b are the two numbers we want to find the midpoint between. In this case, the midpoint is (-2+5)/2 = 3/2.

Step 2: Finding the rational numbers

Now that we have the midpoint, we can find three rational numbers between -2 and 5 by adding and subtracting a small fraction from the midpoint. We can choose any fraction, but it is best to choose fractions with small denominators to keep the numbers simple. Here are three examples:

- (3/2) - 1/3 = 7/6
- (3/2) + 1/4 = 5/4
- (3/2) - 1/5 = 7/5

These three numbers are all rational because they can be expressed as a ratio of two integers. They are also between -2 and 5 because they are greater than -2 and less than 5.

Conclusion

In conclusion, we can find three rational numbers between -2 and 5 by finding the midpoint between these two numbers and adding and subtracting a small fraction from it. The three numbers we found using this method are 7/6, 5/4, and 7/5.