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To divide a number by x = p/q, you simply multiply by q/p, instead.

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Q: How do you solve a division problem with rational numbers?
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Division by any non-zero number is the same as multiplication by its reciprocal.


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You do not "solve" rational numbers. Rational numbers are not a puzzle nor a question nor an equation, so there is nothing to solve. The question is like asking how do you solve a person's name.