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

##### 2 Answers

#### 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*9/4#

#=54/4#

This simplifies to

May 29, 2017

#### Explanation:

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

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