Subtact:
(i) `3/5` from `1/2`, (ii) `-4/7` from `2/3`, (iii) `-5/6` from `-3/4`, (iv) `-7/9` from 0, (v) 4 from `-6/11`, (vi) `3/8` from `-5/6`

Answer

Let's solve the given problems step by step.

### (i) Subtract \( \frac{3}{5} \) from \( \frac{1}{2} \)

1. Rewrite the expression:
\[ \frac{1}{2} - \frac{3}{5} \]

2. Find the least common multiple (LCM) of the denominators (2 and 5):
- LCM of 2 and 5 is 10.

3. Convert each fraction to have the common denominator:
\[ \frac{1}{2} = \frac{5}{10} \quad \text{and} \quad \frac{3}{5} = \frac{6}{10} \]

4. Now perform the subtraction:
\[ \frac{5}{10} - \frac{6}{10} = \frac{5 - 6}{10} = \frac{-1}{10} \]

**Final answer for (i):** \( \frac{-1}{10} \)

---

### (ii) Subtract \( -\frac{4}{7} \) from \( \frac{2}{3} \)

1. Rewrite the expression:
\[ \frac{2}{3} - \left(-\frac{4}{7}\right) = \frac{2}{3} + \frac{4}{7} \]

2. Find the LCM of the denominators (3 and 7):
- LCM of 3 and 7 is 21.

3. Convert each fraction to have the common denominator:
\[ \frac{2}{3} = \frac{14}{21} \quad \text{and} \quad \frac{4}{7} = \frac{12}{21} \]

4. Now perform the addition:
\[ \frac{14}{21} + \frac{12}{21} = \frac{14 + 12}{21} = \frac{26}{21} \]

**Final answer for (ii):** \( \frac{26}{21} \)

---

### (iii) Subtract \( -\frac{5}{6} \) from \( -\frac{3}{4} \)

1. Rewrite the expression:
\[ -\frac{3}{4} - \left(-\frac{5}{6}\right) = -\frac{3}{4} + \frac{5}{6} \]

2. Find the LCM of the denominators (4 and 6):
- LCM of 4 and 6 is 12.

3. Convert each fraction to have the common denominator:
\[ -\frac{3}{4} = -\frac{9}{12} \quad \text{and} \quad \frac{5}{6} = \frac{10}{12} \]

4. Now perform the addition:
\[ -\frac{9}{12} + \frac{10}{12} = \frac{-9 + 10}{12} = \frac{1}{12} \]

**Final answer for (iii):** \( \frac{1}{12} \)

---

### (iv) Subtract \( -\frac{7}{9} \) from 0

1. Rewrite the expression:
\[ 0 - \left(-\frac{7}{9}\right) = 0 + \frac{7}{9} = \frac{7}{9} \]

**Final answer for (iv):** \( \frac{7}{9} \)

---

### (v) Subtract 4 from \( -\frac{6}{11} \)

1. Rewrite the expression:
\[ -\frac{6}{11} - 4 \]

2. Convert 4 to a fraction with a denominator of 11:
\[ 4 = \frac{44}{11} \]

3. Now perform the subtraction:
\[ -\frac{6}{11} - \frac{44}{11} = \frac{-6 - 44}{11} = \frac{-50}{11} \]

**Final answer for (v):** \( \frac{-50}{11} \)

---

### (vi) Subtract \( \frac{3}{8} \) from \( -\frac{5}{6} \)

1. Rewrite the expression:
\[ -\frac{5}{6} - \frac{3}{8} \]

2. Find the LCM of the denominators (6 and 8):
- LCM of 6 and 8 is 24.

3. Convert each fraction to have the common denominator:
\[ -\frac{5}{6} = -\frac{20}{24} \quad \text{and} \quad \frac{3}{8} = \frac{9}{24} \]

4. Now perform the subtraction:
\[ -\frac{20}{24} - \frac{9}{24} = \frac{-20 - 9}{24} = \frac{-29}{24} \]

**Final answer for (vi):** \( \frac{-29}{24} \)

---