Question
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
Answers
GPT 3.5
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.
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.