Now we look at how to perform the multiplication between the two rational numbers. For finding the product, we will simply multiply the numerator with the numerator and the denominator is multiplied with the denominator. The result so obtained is now converted into the standard form. Here we must remember two things; firstly if any rational number is multiplied with 0, the resultant rational number is also zero. Secondly, if any rational number is multiplied with 1, the result is the original rational number itself.
While finding the quotient of the two rational numbers, when we divide the first rational number with other rational number, then the operation of division is changed into multiplication and the reciprocal of the divisor is written. Now it becomes the ordinary sum of the multiplication. The product so obtained becomes the quotient of the two numbers. We must always remember that if any number is divided by 1, the result is the dividend itself.