How do you simplify 6 div 4/9 ?

2 Answers
May 24, 2017

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

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