1. **State the problem:** Calculate the sum of $1.3$ and $\frac{6}{50}$.\n\n2. **Convert the fraction to a decimal:**\n\n$$\frac{6}{50} = 0.12$$\n\n3. **Add the decimal values:**\n\n$$1.3 + 0.12 = 1.42$$\n\n4. **Final answer:**\n\nThe sum of $1.3$ and $\frac{6}{50}$ is $1.42$.