5 6/13-c=3 11/13

To solve the equation \( 5 \frac{6}{13} - c = 3 \frac{11}{13} \), follow these steps: 1. Convert the mixed numbers into improper fractions. - \( 5 \frac{6}{13} \) can be converted as follows: \[ 5 \frac{6}{13} = \frac{5 \times 13 + 6}{13} = \frac{65 + 6}{13} = \frac{71}{13} \] - \( 3 \frac{11}{13} \) is converted similarly: \[ 3 \frac{11}{13} = \frac{3 \times 13 + 11}{13} = \frac{39 + 11}{13} = \frac{50}{13} \] 2. Substitute these improper fractions back into the equation: \[ \frac{71}{13} - c = \frac{50}{13} \] 3. Isolate \( c \) by subtracting \( \frac{50}{13} \) from both sides: \[ -c = \frac{50}{13} - \frac{71}{13} \] \[ -c = \frac{50 - 71}{13} = \frac{-21}{13} \] 4. Multiply both sides by -1 to solve for \( c \): \[ c = \frac{21}{13} \] 5. If desired, convert \( \frac{21}{13} \) back to a mixed number: - \( \frac{21}{13} = 1 \frac{8}{13} \) Thus, the solution is: \[ c = \frac{21}{13} \quad \text{or} \quad c = 1 \frac{8}{13} \]