Solve the Fraction Addition: 3/7 + 5/14 + 1/3

To solve the problem of adding the fractions $\frac{3}{7} + \frac{5}{14} + \frac{1}{3}$, we follow these steps:

• Step 1: Find the Least Common Denominator (LCD).
  We have denominators 7, 14, and 3. The least common multiple (LCM) of these numbers is 42.
• Step 2: Convert each fraction to the equivalent fraction with denominator 42.
  
  • $\frac{3}{7}$: Multiply both the numerator and the denominator by 6 to get $\frac{18}{42}$.
  • $\frac{5}{14}$: Multiply both the numerator and the denominator by 3 to get $\frac{15}{42}$.
  • $\frac{1}{3}$: Multiply both the numerator and the denominator by 14 to get $\frac{14}{42}$.
• Step 3: Add the fractions.
  Now, we add the numerators of these fractions: $18 + 15 + 14 = 47$.
• Final Result:
  The sum of the fractions is $\frac{47}{42}$.

Therefore, the final answer is $\frac{47}{42}$.