Question

You are making a welding fixture and must cut down a length of copper tubbing from 15 1/8 inches to 8 3/4 inches. If the leftover piece is long enough, you will use it in another fixture . How long will the leftover piece be ? 23 and 7/8 1 and 51/70 7 and 1/8 6 3/8

Answer 1

Answer:
`6(3)/(8)\text{ inches}`

Explanation:

Given: Original length =
`15(1)/(8)` inches

`=(8*15+1)/(8)=(121)/(8)` inches ( In improper fraction )

Length of piece cut from original =
`8(3)/(4)` inches

`=(4*8+3)/(4)`
`= (35)/(4)` inches ( In improper fraction )

Length of piece leftover piece = (Original length ) - (Length of piece cut )

`=(121)/(8)-(35)/(4)\\\\=(121-2*35)/(8)\\\\=(121-70)/(8)\\\\=(51)/(8)\\\\=6(3)/(8)\text{ inches}`

Hence, the leftover piece will be
`6(3)/(8)\text{ inches}` long.