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To multiply fractions, we multiply the numerators together and the denominators together.
(-2/5) * (3/10) = (-2 * 3) / (5 * 10)
= -6/50
Next, we simplify the fraction.
-6/50 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2.
So, we get (-6/2) / (50/2) = -3/25
Therefore, the simplified fraction is -3/25.