What is the result of 1/3 plus 1/4 plus 1/9?

To determine the result of adding the fractions 1/3, 1/4, and 1/9, we must first find a common denominator for these fractions. The denominators are 3, 4, and 9. The least common multiple (LCM) of these numbers is 36, which will serve as our common denominator.

Next, we convert each fraction to have a denominator of 36:

1. For 1/3:

• Multiply both the numerator and the denominator by 12: (1 × 12) / (3 × 12) = 12/36.

2. For 1/4:

• Multiply both the numerator and the denominator by 9: (1 × 9) / (4 × 9) = 9/36.

3. For 1/9:

• Multiply both the numerator and the denominator by 4: (1 × 4) / (9 × 4) = 4/36.

Now, we can add the converted fractions together:

12/36 + 9/36 + 4/36 = (12 + 9 + 4) / 36 = 25/36.

Thus,