Solve Division: 1/2 ÷ 9½ Step-by-Step Solution

$(+\frac{1}{2}):(+9\frac{1}{2})=\text{ ?}$

Since we are dividing two positive numbers, the result must be a positive number:

$+:+=+$

First, let's convert the mixed fraction into an improper fraction as follows:

$9\frac{1}{2}=\frac{9\times2+1}{2}=\frac{18+1}{2}=\frac{19}{2}$

Now we have the exercise:

$\frac{1}{2}:\frac{19}{2}=$

Then we can convert the division into multiplication, remembering to switch the numerator and denominator:

$\frac{1}{2}\times\frac{2}{19}=$

Finally, we can cancel out the 2s to get:

$\frac{1}{19}$