Which of the following are incorrect ?

Options

A. `(-2)/( 3) lt (2)/(3)`
B. `(1)/(4) = (4)/(16)`
C. `(9)/(8) gt (7)/(8)`
D. `(5)/(-12) gt (-15)/(36)`

Answer

To determine which of the given options are incorrect, we will analyze each option step by step.

### Step-by-Step Solution:

**Option 1: -2/3 < 2/3**
1. We know that negative numbers are always less than positive numbers.
2. Therefore, -2/3 is indeed less than 2/3.
3. **Conclusion:** This statement is correct.

**Option 2: 1/4 = 4/16**
1. We can simplify 4/16.
2. 4/16 can be simplified by dividing both the numerator and the denominator by 4.
3. 4 ÷ 4 = 1 and 16 ÷ 4 = 4, so 4/16 simplifies to 1/4.
4. **Conclusion:** This statement is correct.

**Option 3: 9/8 > 7/8**
1. Since the denominators are the same (8), we can directly compare the numerators.
2. 9 is greater than 7.
3. Therefore, 9/8 is greater than 7/8.
4. **Conclusion:** This statement is correct.

**Option 4: 5/(-12) > -15/36**
1. First, we rewrite 5/(-12) as -5/12.
2. Now we need to compare -5/12 with -15/36.
3. To compare these fractions, we can find a common denominator or simplify -15/36.
4. -15/36 can be simplified by dividing both the numerator and the denominator by 3.
5. -15 ÷ 3 = -5 and 36 ÷ 3 = 12, so -15/36 simplifies to -5/12.
6. Now we have -5/12 and -5/12, which are equal.
7. **Conclusion:** This statement is incorrect because -5/12 is not greater than -5/12; they are equal.

### Final Answer:
The incorrect option is **Option 4**.