`1.5 xx ( 52xx(2)/(5))=?`

Options

A. 30.1
B. 31.2
C. 32.1
D. 33.2

Explanation

To solve the expression \( 1.5 \times \left( \frac{52 \times 2}{5} \right) \), we can break it down into steps.

### Step-by-Step Solution:

1. **Calculate the numerator of the fraction:**
\[ 52 \times 2 = 104 \]

**Hint:** Multiply the two numbers in the numerator first.

2. **Divide the result by 5:**
\[ \frac{104}{5} = 20.8 \]

**Hint:** To divide, think of how many times 5 goes into 104.

3. **Now multiply the result by 1.5:**
\[ 1.5 \times 20.8 \]

**Hint:** You can break down the multiplication into smaller parts, like \( 1.5 \times 20 + 1.5 \times 0.8 \).

4. **Calculate \( 1.5 \times 20 \):**
\[ 1.5 \times 20 = 30 \]

**Hint:** Multiplying by 20 is the same as multiplying by 2 and then by 10.

5. **Calculate \( 1.5 \times 0.8 \):**
\[ 1.5 \times 0.8 = 1.2 \]

**Hint:** You can think of this as \( \frac{15}{10} \times \frac{8}{10} \).

6. **Add the two results together:**
\[ 30 + 1.2 = 31.2 \]

**Hint:** Make sure to align the decimal points when adding.

### Final Answer:
\[ 1.5 \times \left( \frac{52 \times 2}{5} \right) = 31.2 \]