Answer:You are solving for the total number of fruits Melanie's sister received. What's given in the problem Melanie had \(\text{21}\) mangoes. Melanie had \(\text{27}\) bananas. Melanie had \(\text{33}\) apples. Melanie gave her sister \(\frac{1}{3}\) of each kind of fruit. How to solve Calculate the number of each type of fruit given to the sister and then sum them. Step 1 . Calculate the number of mangoes given to the sister. Number of mangoes given: \(\text{21}\times \frac{1}{3}\) Number of mangoes given: \(\frac{21}{3}=7\) mangoes Step 2 . Calculate the number of bananas given to the sister. Number of bananas given: \(\text{27}\times \frac{1}{3}\) Number of bananas given: \(\frac{27}{3}=9\) bananas Step 3 . Calculate the number of apples given to the sister. Number of apples given: \(\text{33}\times \frac{1}{3}\) Number of apples given: \(\frac{33}{3}=11\) apples Step 4 . Calculate the total number of fruits the sister received. Total fruits: \(\text{7}+\text{9}+\text{11}\) Total fruits: \(\text{27}\) fruits Solution Melanie's sister received a total of \(\text{27}\) fruits.