Final answer:
To find the actual length of the machine part, multiply the length on the drawing by the scale factor. In this case, the scale factor is 15 1/8 and the length on the drawing is 3/8 inches. The actual length of the machine part is 363/64 inches.
Step-by-step explanation:
To find the actual length of the machine part, we need to multiply the length on the drawing by the scale factor. In this case, the scale factor is 15 1/8 and the length on the drawing is 3/8 inches.
So, to find the actual length, we can multiply:
Actual length = Length on drawing * Scale factor
Plugging in the values, we get:
Actual length = 3/8 inches * 15 1/8
To simplify the calculation, we can convert the mixed number to an improper fraction:
Actual length = 3/8 inches * (15 + 1/8) = 3/8 inches * (120/8 + 1/8) = 3/8 inches * 121/8
Multiplying the fractions, we get:
Actual length = (3 * 121) / (8 * 8) = 363/64 inches.
So, the actual length of the machine part is 363/64 inches.