Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3/10
. Write the answer in simplest form.(1 point)
Responses
−6/5
negative Start Fraction 6 over 5 End Fraction
−6/50
negative Start Fraction 6 over 50 End Fraction
−3/25
negative Start Fraction 3 over 25 End Fraction
3/5
To multiply fractions, you simply multiply the numerators (top numbers) and the denominators (bottom numbers) together. In this case, we have:
(-2/5) * (3/10) = (-2 * 3) / (5 * 10) = -6/50
However, the answer should be written in simplest form, where the numerator and denominator have no common factors other than 1. In this case, both -6 and 50 can be divided by 2:
-6/50 = (-6/2)/(50/2) = -3/25
So, the answer is -3/25.
To multiply -2/5 by 3/10, you can follow these steps:
1. Multiply the numerators: -2 * 3 = -6.
2. Multiply the denominators: 5 * 10 = 50.
3. Combine the results to get the final answer: -6/50.
However, we need to simplify the fraction in its simplest form. To do this, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2.
Dividing both -6 and 50 by 2, we get -3 and 25, respectively.
Hence, the final answer, in simplest form, is -3/25.