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Multiply and divide rational numbers

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Answered by GPT 3.5
When multiplying rational numbers, you simply multiply the numerators together and multiply the denominators together. For example, if you want to multiply 2/3 and 4/5, you would multiply 2 by 4 to get 8 and multiply 3 by 5 to get 15. Therefore, 2/3 multiplied by 4/5 is equal to 8/15.

When dividing rational numbers, you multiply the first rational number by the reciprocal of the second rational number. In other words, you multiply the first rational number by the second rational number flipped upside down. For example, if you want to divide 2/3 by 4/5, you would multiply 2/3 by 5/4. Multiply the numerators 2 by 5 to get 10, and multiply the denominators 3 by 4 to get 12. Therefore, 2/3 divided by 4/5 is equal to 10/12, which can be simplified to 5/6.

Remember to always simplify your answer when possible by finding the greatest common factor and dividing both the numerator and denominator by it.
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