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Mathematics
1. The students in Mr. Smith’s shop class measure several boards and record the lengths in the table below.
 Board Number Length (feet) Board 1 $13\frac{3/4}{}$13(3//4)/() Board 2 14 Board 3 $133/8$133//8 Board 4 $13\frac{1/4}{}$13(1//4)/()
Board Number Length (feet) Board 1 13(3//4)/() Board 2 14 Board 3 133//8 Board 4 13(1//4)/()
List the board lengths from greatest to least.
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To list the board lengths from greatest to least, we need to convert all the given measurements to the same units. Let’s convert all the measurements to fractions of a foot.
$\begin{array}{rl}13\frac{3}{4}& =\frac{55}{4}\\ \\ 14& =\frac{56}{4}\\ \\ 133/8& =\frac{133}{8}\\ \\ 13\frac{1}{4}& =\frac{53}{4}\end{array}${:[13(3)/(4)=(55)/(4)],[],[14=(56)/(4)],[],[133//8=(133)/(8)],[],[13(1)/(4)=(53)/(4)]:}
Now we can list them in order:
$\frac{133}{8}>\frac{56}{4}=14>\frac{55}{4}>\frac{53}{4}$(133)/(8) > (56)/(4)=14 > (55)/(4) > (53)/(4)
Therefore, the board lengths in order from greatest to least are:
$\overline{)\frac{133}{8},\phantom{\rule{thinmathspace}{0ex}}14,\phantom{\rule{thinmathspace}{0ex}}\frac{55}{4},\phantom{\rule{thinmathspace}{0ex}}\frac{53}{4}}$(133)/(8),14,(55)/(4),(53)/(4)
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