Which one of the following is wrong?

### Concept & Strategy To determine which equation is incorrect, we need to convert the fractional part of each option into its decimal equivalent and verify the sum. ### Step-by-step Solution Let's evaluate each option by converting the fraction to a decimal: * **Option (a):** $\frac{9}{4} = 2.25$. Adding the decimal: $2.25 + 1.75 = 4.0$. (Correct statement) * **Option (b):** $\frac{9}{5} = 1.8$. Adding the decimal: $1.8 + 2.2 = 4.0$. (Correct statement) * **Option (c):** $\frac{6}{5} = 1.2$. Adding the decimal: $1.2 + 2.8 = 4.0$. (Correct statement) * **Option (d):** $\frac{3}{2} = 1.5$. Adding the decimal: $1.5 + 1.5 = 3.0$. Since $3.0 \neq 4$, this equation is wrong. ### Exam Strategy & Shortcut Instead of calculating top to bottom, quickly scan for the easiest fractions. $\frac{3}{2}$ is famously $1.5$. A quick mental check of $1.5 + 1.5 = 3$ immediately reveals that option (d) is the incorrect equation, saving you from calculating the others. ### Common Pitfall Students often waste time converting decimals back to fractions, which requires finding common denominators. Converting fractions to decimals is significantly faster for simple denominators like 4, 5, and 2. ### Final Answer Therefore, the correct answer is $\frac{3}{2} + 1.5 = 4$.