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If you mean multiplying numerator and denominator by different numbers, the result is then a different ratio. If you mean variously multiplying the numerator and denominator by the same number on different occasions, the result is unchanged.

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Q: What happens if you divide or multiply a ratio by different numbers?
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How do you divide and multiply notations?

You do not divide or multiply notations: you perform those operations on numbers which are expressed in different notations. How you do that depends on which notation you are concerned with.


What happens when you add subtract multiply and divide rational numbers?

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Whatever you multiply or divide the numerator by, you must do the same to the denominator. If you multiply or divide the numerator and denominator by different numbers, you change the value of the fraction and turn it into a different number. After that, nothing is "equivalent" any more ... you're working with a changed number.


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