Question

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

Answer 1

`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`

Answer 2

`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`