Question

a new long life tire has a tread depth of 1/4 inches, instead of the more typical 5/32 inches. how much deeper is the new tire

Answer 1

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.

Answer 2

You have to make both of them to lowest common denominator. In this case the lowest common denominator is 16. So multiply 1/4 × 4 and devide 5/32 by 2. Then it is 4/16 and 2.5/16. Now it is easier to compare. I hope you understand what I mean, and that I was correct ☺