Cancellative Howlers

Algebra Level 1

Sophie observes that she can simplify 16 64 \frac{16}{64} by canceling out the 6.

Can she also simplify 163 326 \frac{163}{326} in the same way?

Yes, the result is correct No, the result is not correct

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1 solution

Marta Reece
Jun 4, 2017

The results are correct in these two special cases. In vast majority of cases this procedure would produce incorrect results, however.

Can we have infinitely many of these tuples? If so, can we classify them in some way?

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