By what rational number should the product of 9/7 and -35/6 be divided to get 3/5?

1 Answer
Apr 2, 2018

#x=-105/6=-35/2#

Explanation:

Let's call the rational number to divide by #x#. This means we can put up the following equation:

#(9/5*-35/6)/x=3/5#

First, we multiply both sides by #x#:
#(9/5*-35/6)/cancelx*cancelx=3/5*x#

#9/5*-35/6=3/5x#

Combine the fractions on the left:
#-315/30=3/5x#

#-21/2=3/5x#

Multiply both sides by #5 \/ 3#:
#-21/2*5/3=x*cancel(3/5*5/3)#

#x=-21/2*5/3=-105/6=-35/2#