ryant and Stratton Mathematics $\newline$ $0$ $\newline$ You are making a welding fixture and must cut down a length of steel tubing from $193 / 8$ 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? $\newline$ A $73 / 4$ $\newline$ B $713 / 16$ $\newline$ C $77 / 8$ $\newline$ D $81 / 4$ $\newline$ E $83 / 4$ $\newline$ $00$ : $56$ $\newline$ $18$ $\newline$ $19$ $\newline$ $20$ $\newline$ $\sqrt{2}$

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Q. ryant and Stratton Mathematics

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0

\newline

You are making a welding fixture and must cut down a length of steel tubing from

193 / 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?

\newline

73 / 4

\newline

713 / 16

\newline

77 / 8

\newline

81 / 4

\newline

83 / 4

\newline

00

56

\newline

18

\newline

19

\newline

20

\newline

\sqrt{2}

Convert Measurements: Convert all measurements to sixteenths to make subtraction easier. $\frac{193}{8}$ inches is the same as $193 \times 2 = \frac{386}{16}$ inches. $11 \frac{9}{16}$ inches stays the same. The waste from the cut is $\frac{1}{16}$ inch.
Subtract Lengths: Subtract the length of the steel tubing needed for the fixture and the waste from the original length. So, $\frac{386}{16} - 11 \frac{9}{16} - \frac{1}{16}$ inches.
Combine Lengths: Combine the lengths to be subtracted. $11\frac{9}{16}$ inches is $\frac{185}{16}$ inches. Adding the waste, we get $\frac{185}{16} + \frac{1}{16} = \frac{186}{16}$ inches.
Find Leftover Piece Length: Now subtract $\frac{186}{16}$ inches from $\frac{386}{16}$ inches to find the length of the leftover piece. $\frac{386}{16} - \frac{186}{16} = \frac{200}{16}$ inches.
Simplify Length: Simplify $\frac{200}{16}$ inches to find the length in simplest form. $\frac{200}{16} = 12.5$ inches, which is the same as $12 \frac{8}{16}$ or $12 \frac{1}{2}$ inches.