Use 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 to get the new numerator, and multiply the denominators together to get the new denominator. In this case, we have:
(-2/5) * (3/10)
= (-2 * 3) / (5 * 10)
= -6 / 50
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
-6 / 50 = (-6 ÷ 2) / (50 ÷ 2)
= -3 / 25
Therefore, the product of -2/5 and 3/10 is -3/25 in simplest form.
Multiply 4 by −58. Write the answer as a mixed number in simplest form.
To multiply two signed numbers, follow these steps:
Step 1: Multiply the absolute values of the numbers.
In this case, the absolute values of -2/5 and 3/10 are 2/5 and 3/10, respectively.
Step 2: Multiply the signs of the numbers.
Since one number is negative (-2/5), the product will be negative.
Step 3: Multiply the numerators to get the product's numerator, and multiply the denominators to get the product's denominator.
2/5 * 3/10 = (2 * 3) / (5 * 10) = 6/50.
Step 4: Simplify the fraction, if possible.
To simplify the fraction, divide the numerator and denominator by their greatest common divisor, which is 2 in this case.
6/50 = (6 ÷ 2) / (50 ÷ 2) = 3/25.
So, the product of -2/5 and 3/10 in simplest form is 3/25.
To multiply two fractions, you can follow these steps:
Step 1: Multiply the numerators: (-2) * (3) = -6.
Step 2: Multiply the denominators: (5) * (10) = 50.
Step 3: Combine the results to form the product, keeping the negative sign if applicable: -6/50.
However, to write the answer in simplest form, we need to simplify the resulting fraction. In this case, the numerator, -6, and denominator, 50, have a common factor of 2. By dividing both the numerator and denominator by 2, we can simplify the fraction further.
Dividing -6 by 2 gives -3, and dividing 50 by 2 gives 25. So, the simplified fraction is -3/25.
Therefore, the product of -2/5 and 3/10 is -3/25.