Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

Question

start fraction, 3, divided by, 10, end fraction, times, 3
10
3
​
×3

Answer 1

To perform the operation \( \frac{3}{10} \times \frac{3}{10} \), we can multiply the numerators and the denominators together.

1. Multiply the numerators: \[ 3 \times 3 = 9 \]

2. Multiply the denominators: \[ 10 \times 10 = 100 \]

Now we have: \[ \frac{9}{100} \]

Since \( 9 \) and \( 100 \) have no common factors (the greatest common divisor is 1), the fraction \( \frac{9}{100} \) is already in its simplest form.

Thus, the final answer is: \[ \frac{9}{100} \]