How do you solve #\frac { 36} { 42} \div \frac { 4} { 7}#?

1 Answer
Feb 6, 2017

#36/42-:4/7=3/2#

Explanation:

To divide by a fraction say #a/b#, what we do is multiply by its multiplicative inverse or reciprocal i.e. #b/a#.

Hence dividing #35/42# by #4/7# is equivalent to multiplying #35/42# by #7/4#

Hence #36/42-:4/7#

= #36/42xx7/4#

= #(cancel36^9)/(cancel42^6)xx(cancel7^1)/(cancel4^1)#

= #9/6#

= #(cancel9^3)/(cancel6^2)#

= #3/2#