Solve: Adding 2.16 and -4 1/16 with Mixed Numbers and Decimals

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

• Step 1: Convert the mixed number
• Step 2: Add the numbers
• Step 3: Determine the sign and calculate the result

Now, let's work through each step:

Step 1: Convert $-4\frac{1}{16}$ to a decimal.
The fraction $\frac{1}{16}$ is equivalent to $0.0625$ as a decimal. Therefore, the mixed number $-4\frac{1}{16}$ converts to $-4.0625$.

Step 2: Add $+2.16$ to $-4.0625$.
The expression becomes $2.16 + (-4.0625)$, which is equivalent to $2.16 - 4.0625$.

Step 3: Perform the subtraction operation.
Subtract $4.0625$ from $2.16$:

$2.16 - 4.0625 = -1.90625$

Therefore, the solution to the problem is $-1.90625$.