How do you simplify #6 div 4/9 #?

2 Answers
May 24, 2017

Answer:

#27/2#

Explanation:

When a number/variable is divided by another number, the result is the same as the former number/variable multiplied by the reciprocal of the other number.

Therefore, #6 div 4/9 = 6 div 1/(4/9)# (eg reciprocal of 2 is #1/2#)

#=6*9/4#

#=54/4#

This simplifies to #27/2#

May 29, 2017

Answer:

#27/2#

Explanation:

#6 div 4/9#

Dividing by a fraction is the same as multiplying by the reciprocal.

#=6/1 xx 9/4#

Cancelling like factors at this point makes it easier to find the answer, rather than simplifying with bigger numbers later.

#=cancel6^3/1 xx 9/cancel4_2" "larr# multiply straight across

#=27/2#