To solve the equation \( m + \frac{6}{11} = 4 \), follow these steps:
- Subtract \(\frac{6}{11}\) from both sides of the equation:
\[ m = 4 - \frac{6}{11} \]
- To perform the subtraction, convert 4 into a fraction with a denominator of 11:
\[ 4 = \frac{4 \times 11}{1 \times 11} = \frac{44}{11} \]
- Now subtract the fractions:
\[ m = \frac{44}{11} - \frac{6}{11} = \frac{44 - 6}{11} = \frac{38}{11} \]
So, the solution is:
\[ m = \frac{38}{11} \]
If you need the decimal approximation:
\[ m \approx 3.4545 \]
Let me know if you need further clarification!