at least using standard algorithms. Why do we need equal denominators to add and subtract fractions but not to multiply and divide them? Why do we invert and multiply to solve fraction division ...

should be the fundamental speed limit—that no possible multiplication algorithm could do better than this. The paper has not yet been peer-reviewed, so some caution is warranted. It is standard ...

Suppose you were asked to multiply 25 and 63. If you’re like most people, you’d probably reach for a calculator. But if you couldn’t find one, you’d probably use the standard algorithm you learned in ...

For division, just flip and multiply.” Technically these teachers are right: you don’t need a common denominator when dividing by a fraction. At the same time, the common denominator approach ...