3/2divided by (8/12-11/6

Answer 1

To divide 3/2 by (8/12 - 11/6), we first need to find a common denominator for the fractions in the denominator.

8/12 = 2/3
11/6 = 11/6

So, the expression becomes:

3/2 ÷ (2/3 - 11/6)

Next, we take the common denominator, which is 6, for the fractions in the denominator:

2/3 = 4/6
11/6 = 11/6

Now the expression becomes:

3/2 ÷ (4/6 - 11/6)

To simplify the expression further:

3/2 ÷ (-7/6)

Now, we can divide by multiplying the numerator by the reciprocal of the denominator:

3/2 * (-6/7)

This simplifies to:

-9/7

Therefore, the result of 3/2 divided by (8/12 - 11/6) is -9/7.