The product of 6 4/7 and 5/14

To find the product of 6 4/7 and 5/14, we first need to convert the mixed number to an improper fraction:

6 4/7 = (7*6 + 4) / 7 = 46/7

Now, we can multiply:

(46/7) * (5/14)

= (46 * 5) / (7 * 14)

= 230 / 98

= 115 / 49

Therefore, the product of 6 4/7 and 5/14 is 115/49.