First we must convert these mixed numbers to improper fractions:
[tex] 8\frac{1}{7}=\frac{57}{7} [/tex]
[tex] 7\frac{4}{5}=\frac{39}{5} [/tex]
So then we need the product of these two numbers. That means to multiply:
[tex] \frac{57}{7}* \frac{39}{5}= \frac{2,223}{35} [/tex]
But then we need the value of half of this product. So then let's multiply by one-half:
[tex] \frac{2,223}{35} *\frac{1}{2} =\frac{2,223}{70} [/tex]
Then we can convert this from an improper fraction to a mixed number:
[tex] \frac{2,223}{70} =31\frac{53}{70} [/tex]
And so this number is half of the product of the initial two numbers.
