Question

Simplify negative 3 over 2 / 9 over 6

Answer 1

Answer:

−1

Step-by-step explanation:

I took the test and got it correct

Answer 2

$\mathrm{Simplify} -\frac{3}2\div\frac{9}6.$

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

$-\frac{3}2\div\frac{9}6=-\frac{3}2\times\frac{6}{9}$

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

$-\frac{3}2\times\frac{2}3$

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...

$-\frac{1}1\times\frac{1}1$

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

$-1\times1$

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

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

$-\frac{3}2\times\frac{2}3=-\frac{6}6=\boxed{-1}$