8. \( 1 \frac{9}{12}+2 \frac{5}{12} \)

To solve the addition of the mixed numbers \( 1 \frac{9}{12} + 2 \frac{5}{12} \), follow these steps: ### Step 1: Add the Whole Numbers Add the whole number parts of the mixed numbers: \[ 1 + 2 = 3 \] ### Step 2: Add the Fractional Parts Add the fractional parts. Since both fractions have the same denominator (12), you can add the numerators directly: \[ \frac{9}{12} + \frac{5}{12} = \frac{9 + 5}{12} = \frac{14}{12} \] ### Step 3: Simplify the Fraction The fraction \(\frac{14}{12}\) can be simplified: \[ \frac{14}{12} = \frac{7}{6} = 1 \frac{1}{6} \] ### Step 4: Combine the Whole Numbers and the Simplified Fraction Add the whole number from Step 1 to the simplified fraction: \[ 3 + 1 \frac{1}{6} = 4 \frac{1}{6} \] ### Final Answer \[ 1 \frac{9}{12} + 2 \frac{5}{12} = 4 \frac{1}{6} \] --- **Simplified Form:** \[ 4 \frac{1}{6} \] **Or as an Improper Fraction:** \[ 4 \frac{1}{6} = \frac{25}{6} \]