Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3/10 . Write the answer in simplest form
responses
A. -6/50
B. 3/5
C. -6/5
D. -3/25
To multiply fractions, we multiply the numerators and multiply the denominators.
For this problem, we have:
(-2/5) * (3/10)
Multiplying the numerators gives:
(-2) * (3) = -6
And multiplying the denominators gives:
(5) * (10) = 50
Therefore, the answer is -6/50.
To simplify, we can divide both the numerator and denominator by their greatest common factor. In this case, the greatest common factor of 6 and 50 is 2. Dividing both by 2 gives:
(-6/2) / (50/2) = -3/25
So, the answer in simplest form is -3/25.
The correct answer is D. -3/25.
To multiply -2/5 by 3/10, you can follow these steps:
Step 1: Multiply the numerators together: -2 * 3 = -6.
Step 2: Multiply the denominators together: 5 * 10 = 50.
Step 3: Simplify the fraction by reducing the numerator and denominator, if possible. In this case, -6 and 50 don't have any common factors other than 1.
Step 4: Write the answer as a fraction: -6/50.
Therefore, the answer is A. -6/50.
To multiply two fractions, you need to multiply the numerators together and multiply the denominators together. When multiplying signed numbers, remember the following rules:
1. The product of two numbers with the same sign is positive.
2. The product of two numbers with different signs is negative.
Now let's multiply -2/5 by 3/10:
(-2/5) * (3/10) = (-2 * 3) / (5 * 10) = -6/50.
To simplify the answer, we can divide both the numerator and denominator by their greatest common divisor, which is 2 in this case:
-6/50 = (-6/2) / (50/2) = -3/25.
Therefore, the answer in simplest form is -3/25.
The correct option is D. -3/25.