When dividing fractions, why does it matter which fraction we invert? If you simply invert the numerator fraction and multiply it by the denominator, then you get the wrong answer; it comes out upside-down.

Read on if you want to understand why it's a little more complicated to invert the numerator fraction and why it doesn't result in a nice shortcut.

Let's work out our problem using the reciprocal of the

numeratorfraction.2/3 3/2 _____ * _____ 3/4 3/2This becomes:6/6 1 1 8/9 8/9 8/9 _____ = _____ = _____ * _____ = _____ = _____ = 8/9 9/8 9/8 9/8 8/9 72/72 1Notice that at one point, we had:1 ___ 9/8...but we had to go through extra steps to simplify it. Dividing a number by 1 is not the same as dividing 1 by another number.So it's much easier to

invert the denominator fraction.Close Window

If you got to this page without readingDividing Fractions,you should do that first.