abney1128
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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

Respuesta :

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 ☺

Answer:

[tex]\frac{3}{32}[/tex] inches deeper is the new tire.

Step-by-step explanation:

Given : A new long life tire has a tread depth of [tex]\frac{1}{4}[/tex] inches, instead of the more typical [tex]\frac{5}{32}[/tex] 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 [tex]\frac{1}{4}[/tex] inches.

The more typical has [tex]\frac{5}{32}[/tex] inches.

So, The difference in the tire is

[tex]d=\frac{1}{4}-\frac{5}{32}[/tex]

Take the least common denominator,

[tex]d=\frac{8-5}{32}[/tex]

[tex]d=\frac{3}{32}[/tex]

Therefore, [tex]\frac{3}{32}[/tex] inches deeper is the new tire.

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