Rewrite (6/10) / (2/3) as a fraction, with 6/10 as the numerator, and 2/3 as the denominator. Then multiply both the numerator and denominator by 3/2. So [(6/10) / (2/3)] x [(3/2) / (3/2)] = [(6/10) x (3/2)] / [(2/3) x (3/2)]. This cancels out the denominator, so we're left with (6/10) x (3/2), which is how we "invert and multiply". Then we can either rewrite this as (6 x 3) / (10 x 2) = 18/20 = 9/10, or first simplify, then cancel, then multiply: (6/10) x (3/2) = (3/5) x (3/2) = (3 x 3) / (5 x 2) = 9/10. Another way is to cancel then multiply: (6/10) x (3/2) = (3/10) x (3/1) = 9/10. The way to look at that first step is to see that (3/2) / (3/2) = 1. Essentially, most of the solving of fraction problems amounts to multiplying by 1.
I tell whoever needs it, "When dividing fractions don't be shy, flip the divisor and multiply!" This video shows _why_ that works. And for the critics in the comments: _You_ may not like this video, but it might just work for someone else.
Too much talking and too qukly , as an ex Maths teacher you've lost most of your class.Why not stick to one problem at a time. You got it right on the 4:00 min. mark
