Question

7 1/2 divided by -2 5/6

Answer 1

`7\left((1)/(2)\right) /(-2)\left((5)/(6)\right)` =
`(45)/(-7) \text { or }-6.4285`

Explanation:

Given expression:

`7\left((1)/(2)\right) /(-2)\left((5)/(6)\right)`

`(7\left((1)/(2)\right))/((-2)\left((5)/(6)\right))`

The fraction
`7\left((1)/(2)\right)` can be written by multiplying 7 with 2 and add to ‘1’. So,

`7\left((1)/(2)\right)=(14+1)/(2)=(15)/(2)`

The fraction
`(-2)\left((5)/(6)\right)` can be written by multiplying (-2) with 6 and add to ‘5’. So,

`(-2)\left((5)/(6)\right)=(-12+5)/(6)=(-7)/(6)`

Applying these, we get

`((15)/(2))/((-7)/(6))`

When do solving with numerator fraction, the denominator fraction
`(-7)/(6)` can be written as
`(6)/(-7)`. Therefore,

`(15)/(2) * (6)/(-7)=(15 * 3)/(-7)=(45)/(-7)=-6.4285`