`(17)/(15) xx (17)/(15) + (2)/(15) xx (2)/(15) - (17)/(15) xx (4)/(15)` is equal to

Options

A. 0
B. 1
C. 10
D. 11

Answer

To solve the expression \((17/15) \times (17/15) + (2/15) \times (2/15) - (17/15) \times (4/15)\), we will follow the order of operations, which prioritizes multiplication before addition and subtraction.

### Step-by-Step Solution:

1. **Calculate the first multiplication:**
\[ (17/15) \times (17/15) = \frac{17 \times 17}{15 \times 15} = \frac{289}{225} \]

**Hint:** Multiply the numerators together and the denominators together.

2. **Calculate the second multiplication:**
\[ (2/15) \times (2/15) = \frac{2 \times 2}{15 \times 15} = \frac{4}{225} \]

**Hint:** Again, multiply the numerators and denominators.

3. **Calculate the third multiplication:**
\[ (17/15) \times (4/15) = \frac{17 \times 4}{15 \times 15} = \frac{68}{225} \]

**Hint:** Use the same method of multiplying numerators and denominators.

4. **Combine the results:**
Now we substitute back into the expression:
\[ \frac{289}{225} + \frac{4}{225} - \frac{68}{225} \]

**Hint:** Since all fractions have the same denominator, you can combine them directly.

5. **Combine the numerators:**
\[ \frac{289 + 4 - 68}{225} = \frac{225}{225} \]

**Hint:** Perform the addition and subtraction in the numerator.

6. **Simplify the fraction:**
\[ \frac{225}{225} = 1 \]

**Hint:** Any number divided by itself (except zero) equals 1.

### Final Answer:
The expression simplifies to \(1\).