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:   $6\dfrac{3}{8}\text{ inches}$

Step-by-step explanation:

Given: Original length = $15\dfrac{1}{8}$ inches

$=\dfrac{8\times15+1}{8}=\dfrac{121}{8}$ inches                      ( In improper fraction )

Length of piece cut from original = $8\dfrac{3}{4}$ inches

$=\dfrac{4\times8+3}{4}$$= \dfrac{35}{4}$ inches                 ( In improper fraction )

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

$=\dfrac{121}{8}-\dfrac{35}{4}\\\\=\dfrac{121-2\times35}{8}\\\\=\dfrac{121-70}{8}\\\\=\dfrac{51}{8}\\\\=6\dfrac{3}{8}\text{ inches}$

Hence, the leftover piece will be $6\dfrac{3}{8}\text{ inches}$  long.