What is the value of `11"" (1)/(6) + 11"" (2)/(6) + 11"" (3)/(6)` ?

Options

A. 35
B. 33
C. 34
D. 36

Answer

To solve the expression \( 11 \frac{1}{6} + 11 \frac{2}{6} + 11 \frac{3}{6} \), we can follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
Each mixed number can be expressed as:
- \( 11 \frac{1}{6} = 11 + \frac{1}{6} \)
- \( 11 \frac{2}{6} = 11 + \frac{2}{6} \)
- \( 11 \frac{3}{6} = 11 + \frac{3}{6} \)

### Step 2: Combine the Whole Numbers
Now, we can add the whole numbers together:
\[ 11 + 11 + 11 = 33 \]

### Step 3: Combine the Fractions
Next, we add the fractions:
\[ \frac{1}{6} + \frac{2}{6} + \frac{3}{6} \]
Since they have the same denominator, we can add the numerators:
\[ \frac{1 + 2 + 3}{6} = \frac{6}{6} = 1 \]

### Step 4: Add the Whole Number and the Fraction
Now, we combine the whole number from Step 2 with the result from Step 3:
\[ 33 + 1 = 34 \]

### Final Answer
Thus, the value of \( 11 \frac{1}{6} + 11 \frac{2}{6} + 11 \frac{3}{6} \) is \( \boxed{34} \).

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