Answer:
-11
Step-by-step explanation:
Given:
[tex]\frac{\frac{-1}{2} -3\frac{1}{6} }{\frac{1}{3} }[/tex]
We can solve it by dividing the fraction by 1/3 or essentially multiply the top and bottom by 3 since we will take the reciprocal when dividing fractions. This will effectively eliminate the fraction on the bottom.
It becomes:
[tex]\frac{-3}{2}-9\frac{3}{6}[/tex]
Change [tex]\frac{-3}{2}[/tex] to have a common denominator of 6. This can be done by multiplying both the numerator and denominator by 3.
[tex]\frac{-9}{6}[/tex]
Now, convert [tex]-9\frac{3}{6}[/tex] into a mixed fraction to make it easier to subtract the two fractions. We can do this by multiply the whole number with the denominator and adding the numerator to the product.
We then get:
[tex]-9\frac{3}{6} = \frac{-57}{6}[/tex]
Lastly, we can just subtract the two fractions and simplify.
[tex]3. -\frac{9}{6} -\frac{57}{6 \\} = \frac{-66}{6} = -11[/tex]
Thus, the solution would be -11.
