Subtract: (i) `3/5` from `7/10`, (ii) `-3/5` from `-5/6`

Answer

Let's solve the question step by step.

### Question:
Subtract:
(i) \( \frac{3}{5} \) from \( \frac{7}{10} \)
(ii) \( -\frac{3}{5} \) from \( -\frac{5}{6} \)

### Solution:

#### Part (i): Subtract \( \frac{3}{5} \) from \( \frac{7}{10} \)

1. **Identify the fractions**: We need to subtract \( \frac{3}{5} \) from \( \frac{7}{10} \), which can be written as:
\[ \frac{7}{10} - \frac{3}{5} \]

2. **Find a common denominator**: The denominators are 10 and 5. The least common multiple (LCM) of 10 and 5 is 10.

3. **Convert the fractions**: Since \( \frac{3}{5} \) needs to be expressed with a denominator of 10:
\[ \frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10} \]

4. **Subtract the fractions**:
\[ \frac{7}{10} - \frac{6}{10} = \frac{7 - 6}{10} = \frac{1}{10} \]

5. **Final answer for part (i)**:
\[ \frac{1}{10} \]

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#### Part (ii): Subtract \( -\frac{3}{5} \) from \( -\frac{5}{6} \)

1. **Identify the fractions**: We need to subtract \( -\frac{3}{5} \) from \( -\frac{5}{6} \), which can be written as:
\[ -\frac{5}{6} - \left(-\frac{3}{5}\right) \]
This simplifies to:
\[ -\frac{5}{6} + \frac{3}{5} \]

2. **Find a common denominator**: The denominators are 6 and 5. The LCM of 6 and 5 is 30.

3. **Convert the fractions**:
- For \( -\frac{5}{6} \):
\[ -\frac{5}{6} = -\frac{5 \times 5}{6 \times 5} = -\frac{25}{30} \]
- For \( \frac{3}{5} \):
\[ \frac{3}{5} = \frac{3 \times 6}{5 \times 6} = \frac{18}{30} \]

4. **Add the fractions**:
\[ -\frac{25}{30} + \frac{18}{30} = \frac{-25 + 18}{30} = \frac{-7}{30} \]

5. **Final answer for part (ii)**:
\[ -\frac{7}{30} \]

### Summary of Answers:
(i) \( \frac{1}{10} \)
(ii) \( -\frac{7}{30} \)

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