To add the fractions 3/7 and 5/6, you need to find a common denominator and then add the numerators.
The least common denominator (LCD) for 7 and 6 is 42.
To convert 3/7 to an equivalent fraction with a denominator of 42, you multiply both the numerator and the denominator by 6: (3/7) * (6/6) = 18/42
To convert 5/6 to an equivalent fraction with a denominator of 42, you multiply both the numerator and the denominator by 7: (5/6) * (7/7) = 35/42
Now you can add the two fractions together: 18/42 + 35/42 = (18 + 35) / 42 = 53/42
The sum of 3/7 and 5/6 is 53/42.
