For a dimension of 3 5/8 inches, what is the lower limit if there is a tolerance of plus or minus 1/4 inch?

To determine the lower limit for the dimension of 3 5/8 inches with a tolerance of plus or minus 1/4 inch, you'll first need to understand how to apply the tolerance.

The given dimension is 3 5/8 inches. To express this as an improper fraction, you convert it:

• 3 5/8 = 29/8 inches.

The tolerance specified is plus or minus 1/4 inch. In terms of fractions, 1/4 inch can also be expressed as 2/8 inches.

Now, applying the tolerance means you can either add or subtract this fraction from the original dimension. To find the lower limit, you need to subtract the tolerance from the base measurement.

So you calculate:

Lower limit = 3 5/8 - 1/4

Lower limit = 29/8 - 2/8

Lower limit = 27/8 inches.

Now, converting 27/8 inches back to a mixed number, you divide 27 by 8:

• 27 divided by 8 equals 3 with a remainder of 3, which can be written as 3 3/8 inches.

Thus, the lower limit for