Subjects algebra

Multiply Divide Fractions 7B4336

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

Question: Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. -5/2 รท -3
1. **State the problem:** We need to perform the division $$\frac{-5}{2} \div -3$$ and simplify the result. 2. **Recall the rule for dividing fractions:** Dividing by a number is the same as multiplying by its reciprocal. So, $$\frac{-5}{2} \div -3 = \frac{-5}{2} \times \frac{1}{-3}$$ 3. **Multiply the numerators and denominators:** $$\frac{-5 \times 1}{2 \times -3} = \frac{-5}{-6}$$ 4. **Simplify the fraction:** Both numerator and denominator are negative, so the fraction is positive. $$\frac{-5}{-6} = \frac{5}{6}$$ 5. **Final answer:** The simplified result of $$\frac{-5}{2} \div -3$$ is $$\frac{5}{6}$$.