Solve: 12 1/49 + 2 3/7 Mixed Number Addition Problem

To solve the problem of adding $12\frac{1}{49} + 2\frac{3}{7}$, we'll follow step-by-step procedures:

• Step 1: Identify the whole numbers and fractions:
  Whole numbers: 12 and 2.
  Fractions: $\frac{1}{49}$ and $\frac{3}{7}$.
• Step 2: Convert $\frac{3}{7}$ to a fraction with a denominator of 49:
  Multiply both the numerator and denominator by 7: $\frac{3 \times 7}{7 \times 7} = \frac{21}{49}$.
• Step 3: Add the fractions:
  $\frac{1}{49} + \frac{21}{49} = \frac{1 + 21}{49} = \frac{22}{49}$.
• Step 4: Add the whole numbers:
  12 + 2 = 14.
• Step 5: Combine the whole number result and the fraction result:
  The result is $14\frac{22}{49}$.

Therefore, the solution to the problem $12\frac{1}{49} + 2\frac{3}{7}$ is $14\frac{22}{49}$, which matches choice 4.