5. Which equation is NOT true when \( \frac{4}{10} \) is the missing number? A \( \frac{3}{10}+\frac{4}{10}=\frac{7}{10} \) B \( \frac{14}{10}-\frac{4}{10}=1 \) C \( 1 \frac{1}{10}+\frac{4}{10}=\frac{7}{10} \) D \( 1 \frac{5}{10}-\frac{4}{10}=1 \frac{1}{10} \)

We are given that the missing number is \( \frac{4}{10} \) and need to check which equation is not true. **Option A:** \[ \frac{3}{10} + \frac{4}{10} = \frac{7}{10} \] Calculation: \[ \frac{3}{10} + \frac{4}{10} = \frac{3+4}{10} = \frac{7}{10} \] This equation is true. **Option B:** \[ \frac{14}{10} - \frac{4}{10} = 1 \] Calculation: \[ \frac{14}{10} - \frac{4}{10} = \frac{14-4}{10} = \frac{10}{10} = 1 \] This equation is true. **Option C:** \[ 1 \frac{1}{10} + \frac{4}{10} = \frac{7}{10} \] First, convert the mixed number to an improper fraction: \[ 1 \frac{1}{10} = \frac{11}{10} \] Then add: \[ \frac{11}{10} + \frac{4}{10} = \frac{11+4}{10} = \frac{15}{10} = 1.5 \] The right-hand side is given as \(\frac{7}{10}\), which is not equal to 1.5. This equation is false. **Option D:** \[ 1 \frac{5}{10} - \frac{4}{10} = 1 \frac{1}{10} \] Convert the mixed number: \[ 1 \frac{5}{10} = \frac{15}{10} \quad \text{and} \quad 1 \frac{1}{10} = \frac{11}{10} \] Then subtract: \[ \frac{15}{10} - \frac{4}{10} = \frac{15-4}{10} = \frac{11}{10} \] This equation is true. Thus, the equation that is NOT true is: C \( 1 \frac{1}{10}+\frac{4}{10}=\frac{7}{10} \).