New answers tagged

3 votes

Reduction of fractions

I think the best defense against this sort of error (and explanation for students) is to know what the process of cancelling is actually doing and why it works. If you think of cancelling as just ...
user avatar
  • 131
7 votes
Accepted

Reduction of fractions

Your first example is equivalent to $(6\div2)\div2$. Writing it this way, the erroneous cancelation can be seen as treating division as associative, that is, as writing $$ (6\div2)\div2=6\div(2\div2)=...
user avatar
5 votes

Reduction of fractions

Cancelling is a shorthand for: The rule for multiplying fractions, used in reverse Any number (except 0) divided by itself is 1 The rule for multiplying by 1 $$\frac{ac}{bc} = \frac{a}{b} \cdot \...
user avatar
  • 2,119

Top 50 recent answers are included