Find each product or quotient where possible. -5/2 (-12/25)

Key Concepts

Multiplication of Fractions

To multiply fractions, you multiply the numerators together and the denominators together. For example, when multiplying -5/2 by -12/25, you calculate (-5 * -12) for the numerator and (2 * 25) for the denominator, resulting in a new fraction that can be simplified if necessary.

Division of Fractions

Dividing fractions involves multiplying by the reciprocal of the divisor. For instance, to divide -5/2 by -12/25, you would multiply -5/2 by the reciprocal of -12/25, which is 25/-12. This process also requires multiplying the numerators and denominators to find the resulting fraction.

Simplifying Fractions

Simplifying fractions means reducing them to their lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD). After performing multiplication or division, it is essential to check if the resulting fraction can be simplified for clarity and ease of understanding.