Real numbers are divided into two categories: rational and irrational. A rational number has the form p/q, where q is greater than zero. Given two numbers p and   q, a rational number is of the form   p/q, where q > 0. When  q=1, the rational number simply becomes an integer, which is a specific case. As a result, all integers are rational numbers with the value   p. The ratio p:q is represented by the integer p/q. Odd and even numbers, fractional and decimal numbers are all examples of rational numbers. All integers are also rational numbers.

Rational numbers between two rational numbers are

The numbers that can be found between two rational numbers are known as rational numbers between two rational numbers. Between any two rational numbers, there can be an endless number of rational numbers. A rational number is one with the form p/q, where p and q are both integers and q is not zero.

Simple methods can be used to find the rational numbers between any two rational numbers

1. If the denominator values of the above rational numbers differ, calculate the equivalent fraction for the given rational numbers and then discover the rational numbers in between.
2. Calculate the mean value of the two rational numbers supplied.

How to find rational numbers between two rational numbers?

• The first and most important step in obtaining the Rational Numbers between Two Rational Numbers is to check the values of the denominators.
• Find the numerator value when the denominators are the same.
•  If the numerators differ by a significant amount, the rational numbers can be written with a one-digit increment while the denominator stays the same.
• If the numerators differ by a smaller amount than the number of rational integers to be identified, simply multiply the numerators and denominators by multiples of ten.

Between two rational numbers with the same denominator are rational numbers

Identifying the denominators of the rational numbers is the first step in discovering the rational numbers between two rational numbers.

• Continue with the next steps if the denominators of the specified rational numbers are the same.
• Now look for rational integers with equal denominators in their numerators.
• Assume that the rational numbers’ numerators differ by bigger values. The rational numbers between two rational numbers can be written by raising the numerator and keeping the denominator the same.

Between two rational numbers with different denominators are two rational numbers

To discover the rational numbers between two rational numbers with different denominators, equate their denominators and use the procedure described above to find the rational numbers.

• Equivalent their real numbers to LCM by taking the LCM of the denominators.
• We can equivalence their denominators by multiplying and dividing rational numbers by a constant integer.
• Continue with the rational numbers between two rational numbers with the same denominator once the denominators have been equalized.

Finding Rational Numbers between 2 Rational Numbers Using the Mean Method

Half of the sum of the two integers equals the mean of the two numbers. The average of two numbers, a, and b, is

Conclusion

In this article we learned that, there are an infinite amount of rational numbers between any 2 rational numbers. Every fraction and decimal are included in rational numbers, as we all know. As a result, there are infinite rational numbers between two rational numbers. Because there are numerous quantities or measures that integers alone cannot effectively explain, rational numbers are required. The most common use of rational numbers is to measure quantities, whether they are length, mass, time, or something else.