Question

By what number should `(- 33)/16` be divided to get `(-11)/4`?

Answer 1

Let the number be x.

`(- 33)/16 div "x" = - 11/4`

`(- 33)/16 div "x"/1 = - 11/4` 

`(- 33)/16 xx 1/"x" = - 11/4`    ....`["a"/"b" div "c"/"a" = "a"/"b" xx "d"/"c"]`

`(- 33 xx 1)/"16x" = -11/4`   

- 33 × 4 = - 11 × 16 x   .....`["a"/"b" xx "c"/"d" = ("a" xx "c")/("b" xx "d")]`

`(- 33 xx 4)/(- 11 xx 16) = "x"`

x = `3/4`