Question

An auto mechanic converts a metric part to 0.473 in. The part comes only in fractional sized given to the nearest 64th of an inch. What would be the closest size?

Answer 1

Answer:

30/64 inches.

Explanation:

The size of the converted metric part = 0.473 in.

Now, we know that:

$\frac{1}{64}=0.015625$

Therefore:

$\frac{0.473}{0.015625}=30.272\approx30$

Thus, we have that:

$0.473\approx\frac{30}{64}\text{ inch}$

To the nearest 64th of an inch, the closest size will be 30/64 inches.