The scale factor on a scale drawing of machine part is 15 1/8. If the part is 3 7/8 inches long on the drawing, how long is the actual part

Answer 1

To find the actual length of the part, we need to multiply the length on the drawing by the scale factor.

3 7/8 inches on the drawing scale would be 3.875 inches (since 7/8 = 0.875).

To find the actual length, we multiply the length on the drawing by the scale factor:
Actual length = 3.875 inches * 15 1/8

Convert the mixed number scale factor into an improper fraction:
15 1/8 = (15 * 8 + 1) / 8 = 121/8

Multiply the length on the drawing by the scale factor:
Actual length = 3.875 inches * 121/8

To multiply fractions, we multiply the numerators together and the denominators together:
Actual length = (3.875 * 121) / 8

Multiply the numbers:
Actual length = 468.875 / 8

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Actual length = 468.875 * (1/8) = 58.609375

The actual length of the machine part is approximately 58.61 inches.