Question

Question #df78a

Answer 1

`2 2/3`

Explanation:

Divide `4/9` by `1/6` to find out how many sixths there are in the fraction `4/9`

Set up a complex fraction

`(4/9)/(1/6)`

Multiply the top and bottom fractions by `6/1` the reciprocal of
`1/6` the reciprocal or multiplicative inverse will make the bottom fraction to "disappear" or turn into 1

`{(4/9) xx (6/1) }/{(1/6) xx (6/1)} = {(4/9) xx (6/1)}/1`

`4/9 xx 6/1 = 24/9` dividing both sides by 3 gives

`(24/3)/ (9/3) = 8/3` Changing this to a mixed number gives

`2 2/3`