Final answer:
The division problem 15/4 divided by (-5/8) simplifies to -24. This is achieved by converting the division problem into a multiplication problem where the second fraction is reciprocated, then multiplying the numerators together for the new numerator, and the denominators together for the new denominator.
Step-by-step explanation:
To solve the division problem 15/4 divided by (-5/8), you must first understand the concept of 'dividing fractions'. When we divide fractions, we actually multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
Therefore, the problem becomes 15/4 x (-8/5).
To multiply these two fractions, multiply their numerators together to get the new numerator, and their denominators together to get the new denominator. This gives us (-15*8) / (4*5), which simplifies to -24.
Learn more about Fraction Division