Insane
ball is dropped from a certain height. Each time it bounces, it reaches exactly \(\frac{1}{2}\) of its previous height. After bouncing 4 times, it finally comes to a complete stop on the floor. If the ball travels a total vertical distance (going down and up) of \(31\) feet from the moment it is dropped to the moment it stops bouncing, what was its initial drop height
16 feet
Without using a calculator or finding a common denominator (which would be very large!), which of these two fractions is greater:
A) \(\frac{3997}{401}\)
B) \(\frac{4996}{5001}\)
Fraction A (\(\frac{3997}{401}\)) is an improper fraction because the numerator is much larger than the denominator. It is greater than 1 (in fact, it is close to 10). so it is fraction B.