How do you divide #\frac { 5m ^ { 4} p } { 12a ^ { 2} } \div \frac { 30m ^ { 4} } { 18a p }#?

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Answer 1 · 2018-08-05T00:56:09

#p^2/(4a)#

Dividing fractions is the same as multiplying by the reciprocal. This allows us to rewrite our expression as

#(5m^4p)/(12a^2)*(18ap)/(30m^4)#

A #m^4# in the numerator and denominator cancel, and we're left with

#(5cancel(m^4)p)/(12a^2)*(18ap)/(30cancelm^4)=>(5p*18ap)/(12a^2*30)#

Now, we can multiply straight across to get

#(90ap^2)/(360a^2)#

We can cancel out common factors to get

#(cancel90^1cancelap^2)/(cancel360^4cancel(a^2)^a)=p^2/(4a)#

Hope this helps!