A cook counted how much cake his restaurant had left over after dinner on Wednesday night. The restaurant had 2/3 of a cake with chocolate frosting, 5/6 of a cake with coconut frosting, 1/2 of a cake with raspberry filling, and 1/3 of a cake with lemon frosting. How many leftover cakes did the restaurant have in all? ​

Respuesta :

To find the total number of leftover cakes, we first need to find a common denominator for the fractions given.

The common denominator for 2/3, 5/6, 1/2, and 1/3 is 6.

Converting the fractions:

2/3 = 4/6

5/6 = 5/6

1/2 = 3/6

1/3 = 2/6

Adding these fractions together:

4/6 + 5/6 + 3/6 + 2/6 = 14/6

Now, we need to simplify the fraction:

14/6 = 7/3

Therefore, the restaurant had 7/3 leftover cakes after dinner on Wednesday night, which is equivalent to 2 cakes with a remainder of 1/3 of a cake. So, the total number of leftover cakes is 2