`31/10xx3/10+7/5div20=?`

Options

A. 0
B. 1
C. 100
D. (107/200)

Answer

To solve the expression \( \frac{31}{10} \times \frac{3}{10} + \frac{7}{5} \div 20 \), we will follow the order of operations, also known as the BODMAS/BIDMAS rule (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Convert Division to Multiplication**:
The division \( \frac{7}{5} \div 20 \) can be rewritten as multiplication by the reciprocal:
\[ \frac{7}{5} \div 20 = \frac{7}{5} \times \frac{1}{20} \]

2. **Simplify the Multiplication**:
Now, we can multiply:
\[ \frac{7}{5} \times \frac{1}{20} = \frac{7 \times 1}{5 \times 20} = \frac{7}{100} \]

3. **Calculate the First Part**:
Next, we calculate \( \frac{31}{10} \times \frac{3}{10} \):
\[ \frac{31}{10} \times \frac{3}{10} = \frac{31 \times 3}{10 \times 10} = \frac{93}{100} \]

4. **Add the Two Results**:
Now we add the two fractions:
\[ \frac{93}{100} + \frac{7}{100} = \frac{93 + 7}{100} = \frac{100}{100} = 1 \]

Thus, the final answer is:
\[ \boxed{1} \]