Question

You are making a welding fixture and must cut down a length of steel tubing from 19 3/8 inches to 11 9/16 inches. When you cut the tubing, you will waste 1/16 inch of it because of the width of the saw cut. If the leftover piece is long enough, you will use it in another fixture. How long will this leftover piece be?

Answer 1

7 3/4 inches will be left.
19 6/16 - 11 9/16
310/16 - 185/16 = 125/16 or 7 13/16
7 13/16 - 1/16 = 7 12/16 or 7 3/4

Answer 2

The length of the left over steel tubing is 7 3/4 inches.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The original length of steel tubing = 19 3/8 inch

The cut down length of steel tubing = 11 9/16 inch

Length of the steel tubing wasted = 1/16 inch

Thus the length of the left over steel tubing is

⇒ $19\frac{3}{8} -11\frac{9}{16} -\frac{1}{16}$

⇒ $\frac{155}{8}-\frac{185}{16} -\frac{1}{16}$

⇒ $\frac{155(2)}{8(2)}-\frac{186}{16}$

⇒ $\frac{310}{16}-\frac{186}{16}$

⇒ $\frac{124}{16}$

⇒ $7\frac{12}{16}$

⇒ $7\frac{3}{4}$

Hence we can conclude that the length of the left over steel tubing is      7 3/4 inches.

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