`20(1)/(2) +30 (1)/(3) - 15(1)/(6)` = ?

Options

A. `34(1)/(6)`
B. `35(2)/(3)`
C. `35(5)/(6)`
D. `45(1)/(3)`

Answer

To solve the expression \( 20 \left( \frac{1}{2} \right) + 30 \left( \frac{1}{3} \right) - 15 \left( \frac{1}{6} \right) \), we will follow these steps:

### Step 1: Convert the mixed expressions to improper fractions
- \( 20 \left( \frac{1}{2} \right) = \frac{20 \times 1}{2} = \frac{20}{2} = 10 \)
- \( 30 \left( \frac{1}{3} \right) = \frac{30 \times 1}{3} = \frac{30}{3} = 10 \)
- \( 15 \left( \frac{1}{6} \right) = \frac{15 \times 1}{6} = \frac{15}{6} = 2.5 \)

### Step 2: Substitute the values back into the expression
Now, we can substitute these values back into the expression:
\[ 10 + 10 - 2.5 \]

### Step 3: Perform the addition and subtraction
First, add \( 10 + 10 \):
\[ 10 + 10 = 20 \]
Now, subtract \( 2.5 \) from \( 20 \):
\[ 20 - 2.5 = 17.5 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{17.5} \]