Plz anyone help to find a rational no. Between 2/3 and -3/4?
Rational Number Between 2/3 and -3/4 Find a Rational Number Between 2/3 and -3/4
To find a rational number between 2/3 and -3/4, we need to understand that rational numbers are numbers that can be expressed as a fraction where both the numerator and denominator are integers.
Step 1: Find a Common Denominator
In this case, the fractions 2/3 and -3/4 have different denominators. To compare them, we need to find a common denominator. The least common multiple of 3 and 4 is 12. So, we rewrite the fractions as 8/12 and -9/12.
Step 2: Finding a Rational Number in Between
Now that we have 8/12 and -9/12, we can see that there are many rational numbers between them. One way to find a rational number between two fractions is to take the average of the two fractions.
Step 3: Calculate the Average
To find a rational number between 8/12 and -9/12, we calculate their average:
Average = (8/12 + -9/12) / 2
Average = (-1/12) / 2
Average = -1/24
Conclusion
Therefore, the rational number -1/24 lies between 2/3 and -3/4.