Operations on Rational Numbers
Rational numbers are numbers that can be expressed as a fraction of two integers. Operations on rational numbers include addition, subtraction, multiplication, and division. Here's a breakdown of each operation:

Addition:
- To add two rational numbers, you need to find a common denominator.
- Once you have a common denominator, you can add the numerators together.
- For example, adding 1/2 and 1/3 would require finding a common denominator of 6, resulting in 3/6 + 2/6 = 5/6.

Subtraction:
- Similar to addition, you need to find a common denominator when subtracting rational numbers.
- Once you have a common denominator, subtract the numerators.
- For example, subtracting 3/4 from 5/8 would require finding a common denominator of 8, resulting in 5/8 - 6/8 = -1/8.

Multiplication:
- To multiply two rational numbers, simply multiply the numerators together and the denominators together.
- For example, multiplying 2/3 by 4/5 would result in (2*4)/(3*5) = 8/15.

Division:
- To divide two rational numbers, multiply the first number by the reciprocal of the second number.
- For example, dividing 2/3 by 4/5 would be the same as multiplying 2/3 by 5/4, resulting in (2*5)/(3*4) = 10/12 = 5/6.

Conclusion:
Operations on rational numbers involve finding common denominators, performing the operation on the numerators, and simplifying the result if necessary. Mastering these operations is essential for solving various mathematical problems involving rational numbers.