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(1)/(7)=(57)/(7)`

`7(4)/(5)=(39)/(5)`

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

`(57)/(7)* (39)/(5)= (2,223)/(35)`

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

`(2,223)/(35) *(1)/(2) =(2,223)/(70)`

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

`(2,223)/(70) =31(53)/(70)`

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