How do you multiply and simplify #\frac { 7p } { 3q ^ { 2} } \cdot \frac { q } { 21p }#?

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Answer 1 · 2017-06-06T03:02:12

Expression #=1/(9q)#

It is easier to simplify the expression first.

Expression #= (7p)/(3q^2)* q/(21p)#

[NB: For expanation, I will spell out the steps one by one, but with some practice the simplification could be done in one go.]

Step 1 - notice that #7/21 =1/3 -># Expression #=p/(3q^2)*q/(3p)#

Step 2 - notice that the #p#'s cancel #-> #Expression #= 1/(3q^2)*q/3#

Step 3 - notice that the #q# in the numerator cancels one of the #q#'s in the denominator #-># Expression #= 1/(3q)*1/3#

Finally multiply.

Expression #=1/(9q)#