| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | B. \frac{15}{7} |
B |
| deepseekr1 | The problem requires dividing two negative fractions: \(\frac{-\frac{18}{7}}{-\frac{6}{5}}\). Dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of \(-\frac{6}{5}\) is \(-\frac{5}{6}\). Thus, the expression becomes: \[ -\frac{18}{7} \times -\frac{5}{6} \] Multiplying two negative numbers yields a positive result. Next, multiply the numerators and denominators: \[ \frac{18 \times 5}{7 \times 6} = \frac{90}{42} \] Simplifying \(\frac{90}{42}\) by dividing numerator and denominator by their greatest common divisor (6): \[ \frac{90 \div 6}{42 \div 6} = \frac{15}{7} \] The simplified result is \(\frac{15}{7}\), which corresponds to option **B**. **Answer: B** |
B |
| gpto1 | B | B |
| GPT-4o | To solve the problem \(\frac{-\frac{18}{7}}{-\frac{6}{5}}\), we start by dividing two fractions: \[ \frac{-\frac{18}{7}}{-\frac{6}{5}} = \frac{-\frac{18}{7}}{\frac{-6}{5}} \] When dividing by a fraction, we multiply by its reciprocal: \[ \frac{-\frac{18}{7}}{\frac{-6}{5}} = -\frac{18}{7} \times -\frac{5}{6} \] Multiplying the fractions, we get: \[ -\frac{18}{7} \times -\frac{5}{6} = \frac{18 \times 5}{7 \times 6} = \frac{90}{42} \] We can simplify \(\frac{90}{42}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 6: \[ \frac{90 \div 6}{42 \div 6} = \frac{15}{7} \] Thus, the answer is: \[ \boxed{B} \] Answer: B. \(\frac{15}{7}\) |
B |
| llama3.1-70B-Instruct | B |
B |
| llama3.1-405B-Instruct | B. \frac{15}{7} |
B |
| DeepSeek-Coder-V2 | B. \frac{15}{7} | B |
| Qwen2-72B-Instruct | B. \frac{15}{7} | B |
| baichuan4 | B | B |
| doubao | B To divide fractions, multiply the first fraction by the reciprocal of the second fraction. So, $\frac{-\frac{18}{7}}{-\frac{6}{5}}=-\frac{18}{7}\times(-\frac{5}{6})=\frac{15}{7}$. |
B |
| minimax | To solve the given expression, we can multiply the first fraction by the reciprocal of the second fraction: $$\frac{-\frac{18}{7}}{-\frac{6}{5}} = -\frac{18}{7} \times -\frac{5}{6}$$ Multiplying the numerators and denominators separately, we get: $$= \frac{18 \times 5}{7 \times 6}$$ $$= \frac{90}{42}$$ Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6: $$= \frac{90 \div 6}{42 \div 6}$$ $$= \frac{15}{7}$$ So the correct answer is: B. \frac{15}{7} |
B |
| kimi | To solve this problem, we can follow the rules for dividing fractions: 1. Invert the second fraction (the divisor). 2. Multiply the first fraction (the dividend) by the inverted second fraction. So, we have: $$\frac{-\frac{18}{7}}{-\frac{6}{5}} = \frac{-\frac{18}{7}}{1} \times \frac{5}{-\frac{6}{1}} = \frac{18}{7} \times \frac{5}{6}$$ Now, multiply the numerators and the denominators: $$\frac{18 \times 5}{7 \times 6} = \frac{90}{42}$$ Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6: $$\frac{90 \div 6}{42 \div 6} = \frac{15}{7}$$ So the correct answer is B. $\frac{15}{7}$. |
B |
| wenxinyiyan | B | B |
| zhipu | To solve the expression \(\frac{-\frac{18}{7}}{-\frac{6}{5}}\), we can simplify it step by step. First, recognize that dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we can rewrite the expression as: \[ \frac{-\frac{18}{7}}{-\frac{6}{5}} = -\frac{18}{7} \times -\frac{5}{6} \] Next, multiply the numerators and the denominators separately: \[ -\frac{18}{7} \times -\frac{5}{6} = \frac{(-18) \times (-5)}{7 \times 6} \] Since multiplying two negative numbers results in a positive number: \[ \frac{(-18) \times (-5)}{7 \times 6} = \frac{90}{42} \] Now, simplify the fraction \(\frac{90}{42}\) by finding the greatest common divisor (GCD) of 90 and 42. The GCD of 90 and 42 is 6. Divide both the numerator and the denominator by 6: \[ \frac{90 \div 6}{42 \div 6} = \frac{15}{7} \] So, the simplified result is \(\frac{15}{7}\). Therefore, the correct answer is: B. \(\frac{15}{7}\) |
B |
| gpto1 | B | B |
| deepseekv3 | To solve the expression \(\frac{-\frac{18}{7}}{-\frac{6}{5}}\), follow these steps: 1. **Simplify the negative signs**: \[ \frac{-\frac{18}{7}}{-\frac{6}{5}} = \frac{\frac{18}{7}}{\frac{6}{5}} \] 2. **Divide the fractions by multiplying by the reciprocal**: \[ \frac{\frac{18}{7}}{\frac{6}{5}} = \frac{18}{7} \times \frac{5}{6} \] 3. **Multiply the numerators and denominators**: \[ \frac{18 \times 5}{7 \times 6} = \frac{90}{42} \] 4. **Simplify the fraction by dividing numerator and denominator by 6**: \[ \frac{90 \div 6}{42 \div 6} = \frac{15}{7} \] Thus, the correct answer is: **B. \(\frac{15}{7}\)** |
B |