This word problem is another way of saying
How many times can 6/14 go into 49/14
To find this out we divide
(49/14)/(6/14)
We also know that dividing by a fraction is the same as multiplying
=(49/14)(14/6)
=49/6
≈8.16
As we just want how many segments of 6/14 feet rope, we can ignore the decimals/round down getting the answer
Eight pieces of rope can be made our of 49/14 piece of rope.
