Use properties of operations and rules for multiplying signed numbers to multiply -2/3 by 3/10. Write the answer in simplest form
To multiply fractions, we simply multiply the numerators together and the denominators together.
The multiplication of the numerators (-2 * 3) gives us -6, and the multiplication of the denominators (3 * 10) gives us 30.
Therefore, the answer is -6/30.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 6.
-6 divided by 6 is -1, and 30 divided by 6 is 5.
Hence, the final answer in simplest form is -1/5.
To multiply fractions, you simply multiply the numerators together and the denominators together. Let's multiply -2/3 by 3/10:
(-2/3) * (3/10)
Step 1: Multiply the numerators together: -2 * 3 = -6
Step 2: Multiply the denominators together: 3 * 10 = 30
Therefore, the answer is -6/30.
However, to write the answer in simplest form, we need to simplify the fraction. Both the numerator and denominator are divisible by the greatest common divisor (GCD) of 6.
Step 3: Find the GCD of 6:
Divisors of 6: 1, 2, 3, 6
Therefore, the GCD of 6 is 6.
Step 4: Divide both the numerator and denominator by the GCD (6):
-6/30 ÷ 6/6 = (-6 ÷ 6) / (30 ÷ 6) = -1/5
Hence, the simplified answer is -1/5.