1/2+x=3/5

To solve the equation \( \frac{1}{2} + x = \frac{3}{5} \), follow these steps: 1. Subtract \( \frac{1}{2} \) from both sides of the equation: \[ x = \frac{3}{5} - \frac{1}{2} \] 2. To perform the subtraction, you need a common denominator. The least common multiple of 5 and 2 is 10. Convert both fractions: \[ \frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10} \] \[ \frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10} \] 3. Now, you can subtract: \[ x = \frac{6}{10} - \frac{5}{10} = \frac{1}{10} \] So, the solution is: \[ x = \frac{1}{10} \]