Use properties of operations and rules for multiplying signed numbers to multiply—2/5 by 3/10. Write the answer in simplest form.
-6/5
3/5
-6/50
-3/25
To multiply fractions, you simply multiply the numerators together and the denominators together. In this case, we will multiply -2/5 by 3/10.
(-2/5) × (3/10) = (-2 × 3) / (5 × 10)
Multiplying the numerators gives us -6, and multiplying the denominators gives us 50:
(-2 × 3) / (5 × 10) = -6/50
The answer is -6/50. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:
-6/50 = -3/25
So, the answer in simplest form is -3/25.
To multiply -2/5 by 3/10, we multiply the numerators and the denominators separately:
(-2/5) * (3/10) = (-2 * 3) / (5 * 10) = -6/50.
The simplified form of -6/50 is -3/25.
Therefore, the answer is -3/25.