1. **State the problem:** We need to find the sum of $1\dfrac{15}{100} + \dfrac{1}{50} + 1.175$. 2. **Convert mixed number to decimal:** $1\dfrac{15}{100} = 1 + \frac{15}{100} = 1 + 0.15 = 1.15$. 3. **Convert fraction to decimal:** $\frac{1}{50} = 0.02$. 4. **Rewrite the sum with decimals:** $1.15 + 0.02 + 1.175$. 5. **Add the numbers:** $$1.15 + 0.02 = 1.17$$ $$1.17 + 1.175 = 2.345$$ 6. **Final answer:** The sum is $2.345$.