when I divide two fractions example
[1/2] / [3/5] I know that I have to invert and then multiply
[1/2]*[5/3] so my answer will be 5/6
My question is why do I invert then multiply inorder to get the correct answer, Why cannot I just say that it is 3/10, why do we need to invert and multiply, why is this the rule that we must invert then multiply?
We want to clear out the fractions in the numerator and denominator, so we need to multiply top and bottom by the LCM of 2 and 5, which is 10:
This is, by far, the harder method to do the problem with, but it is the way to prove that the shortcut you learned is correct.