How do you divide #\frac { 5} { 15k + 20} \div \frac { 1} { 15k + 20}#?

2 Answers
May 17, 2018

#5#

Explanation:

Couple of ways to do solve this equation:

Remember:
#a/(1/b)# = #a xx b#

#(a/c) / (b/c)# = #(a/c) xx (c/b)# = #a/b#

So now let see the original given equation:

#(5/(15k+20)) -: (1/(15k+20))#

#(5/(15k+20)) / (1/(15k+20))# = #5/(15k+20) xx (15k+20)/1#

#(5/(15k+20)) / (1/(15k+20))# = #5/cancel(15k+20) xx cancel(15k+20)/1#

#(5/(15k+20)) / (1/(15k+20))# = #5#

May 17, 2018

#5#

Explanation:

Remember

#a/bdivc/d=a/bxxd/c#

#5/(15k+20)div1/(15k+20)=5/cancel(15k+20)xxcancel(15k+20)/1#

#5/1#

#5#