Find each product or quotient where possible. See Example 2. -3⁄8 ( -24⁄9 )

검증된 단계별 안내

Identify the problem as multiplying two fractions: \(-\frac{3}{8}\) and \(-\frac{24}{9}\).

Recall the rule for multiplying fractions: multiply the numerators together and multiply the denominators together. So, the product is \(\frac{-3 \times -24}{8 \times 9}\).

Calculate the numerator: \(-3 \times -24\) (note that multiplying two negative numbers results in a positive number).

Calculate the denominator: \(8 \times 9\).

Simplify the resulting fraction by dividing numerator and denominator by their greatest common divisor (GCD) to get the fraction in simplest form.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

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

Multiplication of Fractions

Multiplying fractions involves multiplying the numerators together and the denominators together. For example, (a/b) × (c/d) = (a×c)/(b×d). This rule applies regardless of whether the fractions are positive or negative.

Handling Negative Signs in Multiplication

When multiplying numbers, a negative times a negative results in a positive, while a negative times a positive results in a negative. This rule helps determine the sign of the product when fractions have negative numerators or denominators.

Simplifying Fractions

After multiplying, fractions should be simplified by dividing numerator and denominator by their greatest common divisor (GCD). Simplification makes the fraction easier to interpret and use in further calculations.