Question

A 14/15 -inch nail was hammered through a 2/3-inch door. How far did it extend from the door?

Answer 1

The nail extends 4/15 inch from the door.

Step-by-step explanation:

To find how far the nail extends from the door, we need to subtract the thickness of the door from the length of the nail. The nail is 14/15 inch long and the door is 2/3 inch thick. Therefore, to find the extension of the nail, we subtract the thickness of the door from the length of the nail:

Extension = Length of Nail - Thickness of Door

Extension = 14/15 inch - 2/3 inch

To subtract fractions, we need to find a common denominator. In this case, the common denominator is 15. Converting the fractions:

Extension = 14/15 inch - (10/15 inch)

Extension = 4/15 inch

So, the nail extends 4/15 inch from the door.