Question

He paints a small surfboard as a scale drawing of a large surfboard using a scale factor of 1/16. The small surfboard has a length of 6 1/8 in. What is the length of the large surfboard

Answer 1

To find the length of the large surfboard when the scale factor is 1/16, you can multiply the length of the small surfboard by the scale factor.

Length of large surfboard = Length of small surfboard × Scale factor
Length of large surfboard = (6 1/8 inches) × (1/16)

First, convert the mixed number to an improper fraction:

6 1/8 = (8 * 6 + 1)/8 = 49/8 inches

Now, multiply by the scale factor:

Length of large surfboard = (49/8 inches) × (1/16)
Length of large surfboard = (49/8) × (1/16)

To multiply fractions, simply multiply the numerators together and the denominators together:

Length of large surfboard = (49/8) × (1/16) = (49 * 1) / (8 * 16) = 49 / 128 inches

So, the length of the large surfboard is 49/128 inches.