Question

At a restaurant, a worker in the back kitchen divides a cake into 16 equal pieces and places the cake in a display case. By the end of the lunch rush, 12 pieces had been sold. What part of the cake is still in the display case? A. 1⁄8 B. 1⁄5 C. 1⁄4 D. 3⁄4

Answer 1

D. 3/4

12 out of the 16 slices are sold = 12/16 which is also equivalent to 3/4

Answer 2

C. 1/4

Explanation:

The cake is divided into 16 equal pieces and displayed.

By the end of the lunch rush, 12 pieces had been sold.

Therefore, the fraction of cake that is sold, is
`(12)/(16)` =
`(3)/(4)` .

Since
`(3)/(4)`th of the whole cake is sold, the part still in the display = 1-
`(3)/(4)`

taking the LCM =
`(4-3)/(4)` =
`(1)/(4)`

`(1)/(4)` part of the cake is still in the display case.

Option C.
`(1)/(4)` is the answer.