Convert Mixed Number 7 40/100 to Decimal Form: Step-by-Step Solution

To solve this problem, we'll follow these steps:

• Step 1: Identify the given mixed number: $7\frac{40}{100}$.

• Step 2: Convert the fractional part $\frac{40}{100}$ to a decimal.

• Step 3: Combine the decimal result with the whole number part.

Now, let's work through each step:
Step 1: We have the mixed number $7\frac{40}{100}$.
Step 2: Convert $\frac{40}{100}$ to a decimal. Since the denominator is 100, this is $0.40$.
Step 3: Add the whole number part 7 to the decimal $0.40$. This gives us $7 + 0.40 = 7.40$.

In some contexts where trailing zeros are not necessary, $7.40$ can be simplified to $7.4$. Both representations, $7.40$ (for precision) and $7.4$ (for simplification), are correct.

Analyzing the provided choices:

• Choice 1: $0.74$ - Not applicable as it ignores the whole number part.

• Choice 3: $7.40$ - Correct by direct conversion with detailed precision.

• Choice 4: $7.4$ - Correct as a simplified form.

Thus, answers $(3)$ and $(4)$ "Answers (c) and (d) are correct" aligns with both being valid responses based on different levels of precision.

Therefore, the solution to the problem is Answers (c) and (d) are correct.