(i) Subtract `(3)/(4)` from `(2)/(3)." "` (ii) Subtract `(-5)/(7)` from `(-2)/(5)`.

Answer

Let's solve the given problems step by step.

### (i) Subtract \(\frac{3}{4}\) from \(\frac{2}{3}\)

1. **Identify the fractions**: We need to subtract \(\frac{3}{4}\) from \(\frac{2}{3}\). This can be written as:
\[ \frac{2}{3} - \frac{3}{4} \]

2. **Find the least common multiple (LCM)**: The denominators are 3 and 4. The LCM of 3 and 4 is 12.

3. **Convert the fractions to have the same denominator**:
- For \(\frac{2}{3}\):
\[ \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \]
- For \(\frac{3}{4}\):
\[ \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \]

4. **Subtract the fractions**:
\[ \frac{8}{12} - \frac{9}{12} = \frac{8 - 9}{12} = \frac{-1}{12} \]

### Final answer for (i):
\[ \frac{-1}{12} \]

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### (ii) Subtract \(-\frac{5}{7}\) from \(-\frac{2}{5}\)

1. **Identify the fractions**: We need to subtract \(-\frac{5}{7}\) from \(-\frac{2}{5}\). This can be written as:
\[ -\frac{2}{5} - \left(-\frac{5}{7}\right) = -\frac{2}{5} + \frac{5}{7} \]

2. **Find the least common multiple (LCM)**: The denominators are 5 and 7. The LCM of 5 and 7 is 35.

3. **Convert the fractions to have the same denominator**:
- For \(-\frac{2}{5}\):
\[ -\frac{2}{5} = -\frac{2 \times 7}{5 \times 7} = -\frac{14}{35} \]
- For \(\frac{5}{7}\):
\[ \frac{5}{7} = \frac{5 \times 5}{7 \times 5} = \frac{25}{35} \]

4. **Add the fractions**:
\[ -\frac{14}{35} + \frac{25}{35} = \frac{-14 + 25}{35} = \frac{11}{35} \]

### Final answer for (ii):
\[ \frac{11}{35} \]

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