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 fractions, we multiply the numerators and multiply the denominators.
The expression −2/5 multiplied by 3/10 can be written as:
(-2 * 3) / (5 * 10).
-2 * 3 = -6
5 * 10 = 50
Therefore, the answer, written in simplest form, is -6/50.
Multiply 4 by −5/8. Write the answer as a mixed number in simplest form.
To multiply −2/5 by 3/10, we can follow these steps:
Step 1: Multiply the numerators (top numbers) together:
−2 × 3 = −6
Step 2: Multiply the denominators (bottom numbers) together:
5 × 10 = 50
Step 3: Combine the results from Steps 1 and 2 to get the final answer:
−6/50
Step 4: Simplify the fraction by reducing the numerator and denominator:
The greatest common divisor of 6 and 50 is 2, so we can divide both the numerator and denominator by 2:
−6 ÷ 2 / 50 ÷ 2 = −3/25
Therefore, the simplified product of −2/5 and 3/10 is −3/25.
To multiply two fractions, you multiply the numerators together and then multiply the denominators together.
Given the fractions -2/5 and 3/10, we can multiply them as follows:
(-2/5) * (3/10) = (-2 * 3) / (5 * 10)
Now, we apply the properties of operations and rules for multiplying signed numbers:
-2 * 3 = -6 (the product of two negatives is positive)
5 * 10 = 50 (the product of two positives is positive)
Therefore, the multiplication becomes:
(-2/5) * (3/10) = -6/50
To simplify the fraction, we can reduce it by finding the greatest common divisor (GCD) of the numerator and denominator, and then dividing both by the GCD. In this case, the GCD of 6 and 50 is 2, so we divide both by 2:
(-6/50) / 2 = -3/25
The simplified answer is -3/25.