After a birthday party, 2/3 of a cake is left over. The remaining cake is split into 4 equal pieces. What fraction of the original cake is each piece?
You have half a cake left after a party, and you want to split it into 4 pieces. What fraction of the original cake is each slice?
(2/3) / 4 =
(2/3) * (1/4) = 2/12 = 1/6
To find out what fraction of the original cake each piece represents, we need to divide the remaining cake (2/3) into 4 equal pieces.
To do this, we can multiply 2/3 by the reciprocal of 4, which is 1/4.
(2/3) x (1/4) = 2/12
So, each piece represents 2/12 of the original cake.
However, 2/12 can be simplified because both 2 and 12 have a common factor of 2.
By dividing both the numerator and denominator by 2, we get:
2/12 = 1/6
Therefore, each piece represents 1/6 of the original cake.