Final answer:
To find the fraction of grapes that Kate has not eaten, subtract the fractions she has eaten from 1. In this case, Kate has not eaten 1/12 of the grapes.
Step-by-step explanation:
Kate ate 1/4 of the grapes in the morning and 2/3 of the grapes in the afternoon. To find the fraction of grapes that she has not eaten, we need to subtract the fractions she has eaten from 1 (whole).
1 - 1/4 - 2/3 = ?
To calculate this, we need to find a common denominator for 4 and 3, which is 12. We can multiply the numerator and denominator of 1/4 by 3 to get 3/12 and multiply the numerator and denominator of 2/3 by 4 to get 8/12.
Now, we can subtract the fractions:
1 - 3/12 - 8/12 = 1 - 11/12 = 1/12