Answer:
[tex]\frac{7}{32}[/tex] inch.
Step-by-step explanation:
We have been given that the depth of the new tire is 9/32 inch after two month use 1/16 inch worn off. We are asked to find the depth of the tire remaining tire thread.
To find the depth of remaining tire thread, we will subtract worn off value from initial depth as:
[tex]\text{Depth of remaining tire thread}=\frac{9}{32}-\frac{1}{16}[/tex]
Let us make a common denominator.
[tex]\text{Depth of remaining tire thread}=\frac{9}{32}-\frac{1*2}{16*2}[/tex]
[tex]\text{Depth of remaining tire thread}=\frac{9}{32}-\frac{2}{32}[/tex]
Combine numerators:
[tex]\text{Depth of remaining tire thread}=\frac{9-2}{32}[/tex]
[tex]\text{Depth of remaining tire thread}=\frac{7}{32}[/tex]
Therefore, the depth of the remaining tire thread would be [tex]\frac{7}{32}[/tex] inch.
