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 multiply the numerators together and the denominators together.
The numerator of the first fraction is -2, and the numerator of the second fraction is 3. So when we multiply them together, we get (-2)(3) = -6.
The denominator of the first fraction is 5, and the denominator of the second fraction is 10. So when we multiply them together, we get (5)(10) = 50.
Therefore, the product of -2/5 and 3/10 is -6/50.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.
-6 divided by 2 is -3, and 50 divided by 2 is 25.
Therefore, the answer in simplest form is -3/25.
To multiply fractions, we can simply multiply the numerators and denominators:
(-2/5) * (3/10) = (-2 * 3) / (5 * 10)
Now, let's simplify the fraction:
(-2 * 3) = -6
(5 * 10) = 50
So the answer is -6/50.
But we can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor.
The greatest common divisor of 6 and 50 is 2:
-6/50 = (-6 ÷ 2) / (50 ÷ 2)
= (-3) / 25
Therefore, the answer in simplest form is -3/25.