Answer:
To add these fractions, we need to find a common denominator. The least common multiple of 3, 5, and 6 is 30, so we can convert each fraction to an equivalent fraction with a denominator of 30:
7/3 = 70/30
21/5 = 126/30
7/6 = 35/30
Now we can add the fractions:
7/3 + 21/5 + 7/6 = 70/30 + 126/30 + 35/30
Combining the numerators, we get:
= (70 + 126 + 35) / 30
= 231 / 30
Simplifying this fraction by dividing the numerator and denominator by their greatest common factor, which is 3, we get:
= 77 / 10
Therefore, the sum of the fractions 7/3, 21/5, and 7/6 is equal to 77/10.