Asked by Jo
Used properties of operations and rules for multiplying signed numbers to multiply -2/5 by 3/10 write the answer in simplest form
Answers
Answered by
GPT 3.5
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.
- 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.
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