Question

What is `1 1/6 -: 2/3`?

Answer 1

`1 1/6 div 2/3 = 1 3/4`

Explanation:

`1 1/6` can be written as the improper fraction `7/6`

Dividing by a fraction `a/b` is the same as multiplying by the fraction `b/a`

Therefore
`color(white)("XXX")1 1/6 div 2/3 = 7/6 xx 3/2`

`color(white)("XXXXXXXX")=(7xxcancel(3))/(cancel(6)_2xx2)`

`color(white)("XXXXXXXX")=7/4`

or, as a mixed fraction
`color(white)("XXXXXXXX")=1 3/4`