Find each product or quotient where possible. See Example 2. (-4⁄5) / (-3⁄5)

검증된 단계별 안내

Identify the operation between the two fractions. Here, the problem shows two fractions written side by side: \(-\frac{4}{5}\) and \(-\frac{3}{5}\). This typically means multiplication of the two fractions.

Recall the rule for multiplying fractions: multiply the numerators together and multiply the denominators together. So, the product of \(-\frac{4}{5}\) and \(-\frac{3}{5}\) is given by \(\left(-\frac{4}{5}\right) \times \left(-\frac{3}{5}\right) = \frac{(-4) \times (-3)}{5 \times 5}\).

Calculate the numerator by multiplying the two numerators: \((-4) \times (-3)\). Remember that multiplying two negative numbers results in a positive number.

Calculate the denominator by multiplying the two denominators: \(5 \times 5\).

Write the product as a single fraction with the numerator and denominator found in the previous steps. Then, if possible, simplify the fraction by dividing numerator and denominator by their greatest common divisor.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Multiplication of Fractions

To multiply fractions, multiply the numerators together and the denominators together. For example, multiplying -4/5 by -3/5 involves multiplying -4 by -3 for the numerator and 5 by 5 for the denominator, resulting in a new fraction.

Sign Rules for Multiplication

When multiplying numbers, the product of two negative numbers is positive, while the product of a positive and a negative number is negative. This rule helps determine the sign of the product when multiplying fractions with negative numerators or denominators.

Simplifying Fractions

After multiplying or dividing fractions, simplify the result by dividing numerator and denominator by their greatest common divisor. Simplification makes the fraction easier to interpret and use in further calculations.