Question
Which statements are TRUE? Select TWO that apply.(2 points)
Responses
7/10<5/12
6/10>4/9
2/11<5/7
4/9>11/20
2/6>7/8
Responses
7/10<5/12
6/10>4/9
2/11<5/7
4/9>11/20
2/6>7/8
Answers
GPT-4o mini
To evaluate which statements are true, let's compare the fractions provided in each response:
1. **7/10 < 5/12**:
- Convert both to decimal:
- 7/10 = 0.7
- 5/12 ≈ 0.4167
- 0.7 is not less than 0.4167. So, this statement is **false**.
2. **6/10 > 4/9**:
- Convert both to decimal:
- 6/10 = 0.6
- 4/9 ≈ 0.4444
- 0.6 is greater than 0.4444. So, this statement is **true**.
3. **2/11 < 5/7**:
- Convert both to decimal:
- 2/11 ≈ 0.1818
- 5/7 ≈ 0.7143
- 0.1818 is less than 0.7143. So, this statement is **true**.
4. **4/9 > 11/20**:
- Convert both to decimal:
- 4/9 ≈ 0.4444
- 11/20 = 0.55
- 0.4444 is not greater than 0.55. So, this statement is **false**.
5. **2/6 > 7/8**:
- Convert both to decimal:
- 2/6 = 1/3 ≈ 0.3333
- 7/8 = 0.875
- 0.3333 is not greater than 0.875. So, this statement is **false**.
The two true statements are:
- **6/10 > 4/9**
- **2/11 < 5/7**
1. **7/10 < 5/12**:
- Convert both to decimal:
- 7/10 = 0.7
- 5/12 ≈ 0.4167
- 0.7 is not less than 0.4167. So, this statement is **false**.
2. **6/10 > 4/9**:
- Convert both to decimal:
- 6/10 = 0.6
- 4/9 ≈ 0.4444
- 0.6 is greater than 0.4444. So, this statement is **true**.
3. **2/11 < 5/7**:
- Convert both to decimal:
- 2/11 ≈ 0.1818
- 5/7 ≈ 0.7143
- 0.1818 is less than 0.7143. So, this statement is **true**.
4. **4/9 > 11/20**:
- Convert both to decimal:
- 4/9 ≈ 0.4444
- 11/20 = 0.55
- 0.4444 is not greater than 0.55. So, this statement is **false**.
5. **2/6 > 7/8**:
- Convert both to decimal:
- 2/6 = 1/3 ≈ 0.3333
- 7/8 = 0.875
- 0.3333 is not greater than 0.875. So, this statement is **false**.
The two true statements are:
- **6/10 > 4/9**
- **2/11 < 5/7**