A sculptor makes a scale model of a statue that is 2/5 meters tall before finished statue, which is 3 2/5 meters tall. Solve to find the scale factor of the finished statue in comparison to the small model.
To find the scale factor, we need to compare the height of the finished statue to the height of the small model.
The height of the small model is 2/5 meters.
The height of the finished statue is 3 2/5 meters.
To compare these heights, we need to convert the mixed number 3 2/5 to an improper fraction:
3 2/5 = (3 * 5 + 2) / 5 = 17/5
Now, we can compare the heights:
Scale factor = Height of finished statue / Height of small model
= 17/5 / 2/5
= 17/5 * 5/2 (inverted the denominator and multiplied)
= 17/2
Therefore, the scale factor of the finished statue in comparison to the small model is 17/2.