How do you multiply #6/7 div 3/2#?

1 Answer
Mar 16, 2016

Answer:

#4/7# As you become more practiced you will considerably reduce the number of steps. You will be able to do a lot of it in your head.

Explanation:

Shortcut method:

Turn the divisor #(3/2)# upside down (invert) and then multiply

So we have

#6/7-:3/2 " "=" " 6/7xx2/3#

But, when multiplying you are allowed to do this:

#color(blue)(6/7) xxcolor(red)(2/3)" "=" "color(blue)(6/(color(red)(3))xx(color(red)(2))/7)#

This gives:

# 2xx2/7" " =" " 2/7+2/7" " =" " 4/7#