At a party, if 1/3 of one sheet cake and 1/6 of another sheet cake remain uneaten, what fraction of a whole sheet remains uneaten .

1/2

3/3 - 1/3 = 2/3 of one cake

6/6 - 1/6 = 5/6

4/6 + 5/6 = 9/6 = 1 4/6 = 1 1/2 of the cakes

1 1/2

To solve this problem, we need to find a common denominator for the fractions 1/3 and 1/6. The smallest common denominator is 6.

To convert 1/3 to a fraction with a denominator of 6, we multiply the numerator and denominator by 2:
1/3 = (1 * 2) / (3 * 2) = 2/6

To convert 1/6 to a fraction with a denominator of 6, we multiply the numerator and denominator by 1/2:
1/6 = (1 * 1/2) / (6 * 1/2) = (1/2) / 3 = 1/6

Now we can add the fractions together:
2/6 + 1/6 = 3/6

So, at the party, a total of 3/6 of a sheet cake remains uneaten.

Now, let's simplify the fraction. Both the numerator and denominator are divisible by 3, so we can divide them both by 3:
3/6 = (3/3) / (6/3) = 1/2

Therefore, 1/2 of a whole sheet cake remains uneaten at the party.