How do you multiply #\frac { 5p - 5} { p } \cdot \frac { 3p ^ { 2} } { 7p - 7}#?

1 Answer
smendyka · EZ as pi
Nov 10, 2016

#(15p)/7#

Explanation:

Step 1) To multiply fractions you multiply the numerators together and the denominators together.
Therefore this problem first can be transformed into:

#(3p^2(5p - 5))/(p(7p - 7))#

Step 2) Simplify by finding common factors in the numerator and denominator. They can cancel out because they equal 1.

#(3p^2(5(p - 1)))/(p(7(p - 1)))#

#(15p*p(p - 1))/(p(7(p - 1)))#

#(15p*p((p - 1)))/(7p(p - 1))#

#(15p)/7 cancelp/cancelp (cancel((p - 1)))/(cancel((p - 1))#

#(15p)/7#

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