Use properties of operations and rules for multiplying sign the numbers to multiply -2/5 by 3/10 write the answer in simplest form
To multiply -2/5 by 3/10, we can follow these steps:
1. Multiply the numerators: -2 * 3 = -6.
2. Multiply the denominators: 5 * 10 = 50.
3. Write the answer as -6/50.
However, to express the answer in simplest form, we need to simplify the fraction by finding the greatest common divisor (GCD) between the numerator and denominator. In this case, the GCD of -6 and 50 is 2:
-6 ÷ 2 = -3
50 ÷ 2 = 25
Therefore, the simplest form of -6/50 is -3/25.
To multiply -2/5 by 3/10, you can follow these steps:
Step 1: Multiply the numerators (top numbers) together: -2 x 3 = -6.
Step 2: Multiply the denominators (bottom numbers) together: 5 x 10 = 50.
Step 3: Write the product of the numerators (-6) over the product of the denominators (50): -6/50.
Step 4: Simplify the fraction by dividing the numerator (-6) and denominator (50) by their greatest common factor, which is 2: -6/50 = -3/25.
So, after simplification, the product of -2/5 and 3/10 is -3/25.