Calculate the sum of 3 6/9 + 6 1/3 + 9 5/9.

To find the sum of the mixed numbers 3 6/9, 6 1/3, and 9 5/9, it's important to first convert each mixed number into an improper fraction for easier addition.

Starting with 3 6/9:

• To convert this, multiply the whole number (3) by the denominator (9) and add the numerator (6). This gives: ( 3 \times 9 + 6 = 27 + 6 = 33 ). Therefore, 3 6/9 can be expressed as 33/9.

Next, convert 6 1/3:

• For this mixed number, multiply the whole number (6) by the denominator (3) and add the numerator (1): ( 6 \times 3 + 1 = 18 + 1 = 19 ). So, 6 1/3 can be written as 19/3. To add it with the other fractions, it's helpful to find a common denominator, which would be 9: ( 19/3 ) can be converted to ( 57/9 ) (since ( 19 \times 3 = 57 ))