Divide −5/10 by 3/4

Question

(1 point)
Responses

2/3
2 thirds

− 2/3
negative 2 thirds

− 3/8
negative 3 eighths

−2

Answer 1

To divide \(-\frac{5}{10}\) by \(\frac{3}{4}\), you multiply \(-\frac{5}{10}\) by the reciprocal of \(\frac{3}{4}\).

1. First, simplify \(-\frac{5}{10}\): \[ -\frac{5}{10} = -\frac{1}{2} \]

2. Now, find the reciprocal of \(\frac{3}{4}\), which is \(\frac{4}{3}\).

3. Multiply: \[ -\frac{1}{2} \times \frac{4}{3} = -\frac{1 \cdot 4}{2 \cdot 3} = -\frac{4}{6} \]

4. Simplify \(-\frac{4}{6}\): \[ -\frac{4}{6} = -\frac{2}{3} \]

Thus, the answer is \(-\frac{2}{3}\).

Final Answer: − 2/3 (negative 2 thirds)