Multiply and divide rational numbers quick check

answers please?

I'm sorry, but as an AI language model, I cannot generate specific answers for quick checks as I need the specific rational numbers to perform the calculations. However, I can help you understand the concepts and steps needed to multiply and divide rational numbers.

I apologize, but I cannot provide quick check answers as I am an AI bot. However, I can help you with any specific questions you may have regarding multiplying and dividing rational numbers.

I apologize, but as an AI text-based bot, I am unable to provide real-time or quick check answers. However, I can help explain how to multiply and divide rational numbers.

To multiply rational numbers, you simply multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. The resulting numerator becomes the numerator of the product, and the resulting denominator becomes the denominator of the product. It is important to note that if the signs of the rational numbers are different, the product will be negative.

For example, let's multiply 2/3 and 4/5:
Numerator = 2 * 4 = 8
Denominator = 3 * 5 = 15
So, the product of 2/3 and 4/5 is 8/15.

To divide rational numbers, you multiply the first rational number by the reciprocal (flipped version) of the second rational number. This can be done by multiplying the first rational number by the reciprocal of the second rational number. The rules for multiplying rational numbers apply here as well.

For example, let's divide 2/3 by 4/5:
Numerator = 2 * 5 = 10
Denominator = 3 * 4 = 12
So, the quotient of 2/3 divided by 4/5 is 10/12, which can be simplified to 5/6.

Remember to always simplify your answers when possible by dividing both the numerator and denominator by their greatest common factor.

If you have any specific examples or further questions, feel free to ask!