How do you solve #\frac{18}{12}\div \frac{4}{14^{2}}#?

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Answer 1 · 2016-12-02T09:22:16

The value of this expression is #73 1/2#. See explanation.

To evaluate this expression we have to use the formula:

#a/b -: c/d = a/b xx d/c#

In other words we can say that to divide by a fraction is to multiply by its reciprocal

If we use this formula for the example we get:

#18/12 -: 4/14^2=18/12 xx 14^2/4=3/2xx49=(3xx49)/2=147/2=73 1/2#