Question

Simplify negative 3 over 2 / 9 over 6

Answer 1

−1

Explanation:

I took the test and got it correct

Answer 2

`\mathrm{Simplify} -\frac{3}2/\frac{9}6.`

Dividing by a fraction is the same as multiplying by its reciprocal. (flipped version)


`-\frac{3}2/\frac{9}6=-\frac{3}2*(6)/(9)`

6 and 9 are both divisible by 3, so we can simplify 6/9 = 2/3.


`-\frac{3}2*\frac{2}3`

We can multiply across right now, but we might as well cross cancel.
Look at the numbers diagonal from one another...-3 and 3 are both divisible by 3, so we can change them to -1 and 1...2 and 2 are both divisible by 2, so we can change them to 1 and 1...


`-\frac{1}1*\frac{1}1`

Any fraction over 1 can just be expressed as a whole number.


`-1*1`

Our final answer...
`-\frac{3}2/\frac{9}6=\boxed{-1}`

If you were to multiply across, (maybe you don't like cross cancelling, idk?) you'd get the same answer, of course.


`-\frac{3}2*\frac{2}3=-\frac{6}6=\boxed{-1}`