Answer:
\(\frac{3}{32}\) inches deeper is the new tire.
Step-by-step explanation:
Given : A new long life tire has a tread depth of \(\frac{1}{4}\) inches, instead of the more typical \(\frac{5}{32}\) inches.
To find : How much deeper is the new tire ?
Solution :
The difference in depth is found by the difference in the measurements.
A new long life tire has a tread depth of \(\frac{1}{4}\) inches.
The more typical has \(\frac{5}{32}\) inches.
So, The difference in the tire is
\(d=\frac{1}{4}-\frac{5}{32}\)
Take the least common denominator,
\(d=\frac{8-5}{32}\)
\(d=\frac{3}{32}\)
Therefore, \(\frac{3}{32}\) inches deeper is the new tire.
