Used properties of operations and rules for multiplying signed numbers to multiply -2/5 by 3/10 write the answer in simplest form
To multiply two fractions, you simply multiply the numerators together and multiply the denominators together. To multiply signed numbers, you follow the rules:
- If the signs are the same, the product is positive.
- If the signs are different, the product is negative.
So, to multiply -2/5 by 3/10, we multiply the numerators (-2 * 3) and the denominators (5 * 10):
(-2/5) * (3/10) = (-2 * 3) / (5 * 10) = -6/50
To simplify the answer, we can divide the numerator and denominator by their greatest common divisor (GCD), which is 2:
-6/50 = (-6 ÷ 2) / (50 ÷ 2) = -3/25
Therefore, the answer in simplest form is -3/25.
To multiply -2/5 by 3/10, you can follow these steps:
Step 1: Multiply the numerators of the fractions: -2 * 3 = -6.
Step 2: Multiply the denominators of the fractions: 5 * 10 = 50.
Step 3: The result is -6/50.
Step 4: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 2: -6 ÷ 2 / 50 ÷ 2.
Step 5: The simplified fraction is -3/25.
Therefore, -2/5 multiplied by 3/10 is equal to -3/25 in simplest form.