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Answer:
Option C is correct
The most precise measurement is, [tex]\frac{2}{32}[/tex] in
Explanation:
A numbers after the decimal point is a fraction of the number 1.
Therefore, more numbers you have after the decimal the smaller the fraction, and more precise that fraction will be.
Given: [tex]\frac{2}{32}[/tex] in , [tex]\frac{3}{12}[/tex] in , [tex]\frac{1}{12}[/tex] ft or [tex]\frac{1}{36}[/tex] yd
First convert : [tex]\frac{1}{12}[/tex] ft into inches
Use conversion: 1 ft = 12 inches
then,
[tex]\frac{1}{12}[/tex] ft [tex]\rightarrow[/tex] [tex]\frac{1}{12} \times 12[/tex] in =1 in
Similarly, Convert [tex]\frac{1}{36}[/tex] yd into inches.
Use conversion: 1 yard = 36 inches
then,
[tex]\frac{1}{36}[/tex] yd [tex]\rightarrow[/tex] [tex]\frac{1}{36} \times 36[/tex] in = 1 in.
Now, convert all the fraction [tex]\frac{3}{32}[/tex] in , [tex]\frac{3}{12}[/tex] in , 1 in or 1 in. into decimal.
[tex]\frac{2}{32}[/tex] in = 0.0625
[tex]\frac{3}{12}[/tex] in = 0.25 in.
1 in.
1 in.
From the above only 0.0625 in. is the most precise.