Did you know?
Did you know that when a cake is divided by removing one quarter of the cake at each cut, the fraction left of the original cake can be calculated? Let's break it down!
Imagine starting with a whole cake. After making the first cut, one quarter of the cake is removed, leaving three quarters of the cake remaining.
With the second cut, another quarter of the remaining cake is removed. Since there were already three quarters left, one quarter of three quarters is equal to three-fourths multiplied by one-fourth, which gives us three-sixteenths. Therefore, after the second cut, there are now three-sixteenths (or 3/16) of the original cake left.
Finally, the third cut removes another quarter of the remaining cake. To calculate the fraction left, we need to find one quarter of three-sixteenths. This equals three-sixteenths multiplied by one-fourth, which gives us three sixty-fourths. So, after the third cut, there are now three sixty-fourths (or 3/64) of the original cake left.
Thus, after making three cuts and removing one quarter of the cake at each cut, only a tiny fraction, namely three sixty-fourths (3/64), remains from the entire original cake.
