Find each product or quotient where possible. -3/8 (-24/9)

Verified step by step guidance

1. Identify the problem as a multiplication of two fractions: \(-\frac{3}{8} \times -\frac{24}{9}\).
2. Multiply the numerators together: \(-3 \times -24\) and multiply the denominators together: \(8 \times 9\) to get a new fraction.
3. Simplify the numerator and denominator separately before multiplying if possible, by factoring and reducing common factors.
4. After simplification, multiply the simplified numerators and denominators to get the product fraction.
5. If possible, reduce the resulting fraction to its simplest form by dividing numerator and denominator by their greatest common divisor (GCD).

Key Concepts

Multiplication of Fractions

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) × (c/d) = (a×c)/(b×d). Simplifying before multiplying can make calculations easier.

Simplifying Fractions

Simplifying fractions involves dividing the numerator and denominator by their greatest common divisor (GCD) to reduce the fraction to its simplest form. This makes the fraction easier to understand and work with.

Handling Negative Signs in Fractions

A negative sign in a fraction can be placed in the numerator, denominator, or in front of the fraction. When multiplying, the product is negative if there is an odd number of negative factors, and positive if even.