Respuesta :

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.