Question

What is half of the product of 8 1/7 and 7 4/5

Answer 1

First we must convert these mixed numbers to improper fractions:

$8\frac{1}{7}=\frac{57}{7}$

$7\frac{4}{5}=\frac{39}{5}$

So then we need the product of these two numbers. That means to multiply:

$\frac{57}{7}* \frac{39}{5}= \frac{2,223}{35}$

But then we need the value of half of this product. So then let's multiply by one-half:

$\frac{2,223}{35} *\frac{1}{2} =\frac{2,223}{70}$

Then we can convert this from an improper fraction to a mixed number:

$\frac{2,223}{70} =31\frac{53}{70}$

And so this number is half of the product of the initial two numbers.