Write a fraction for each of the following:
(i) three-fourths
(ii) four-sevenths
(iii) two-fifths
(iv) three-tenths
(v) one-eighth
(vi) five-sixths
(vii) eight-ninths
(viii) seven-twelfths

Answer

To write a fraction for each of the given phrases, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Phrase**: The first phrase is "three-fourths".
- **Fraction**: This means 3 parts out of 4 total parts, which can be written as \( \frac{3}{4} \).

2. **Identify the Phrase**: The second phrase is "four-sevenths".
- **Fraction**: This means 4 parts out of 7 total parts, which can be written as \( \frac{4}{7} \).

3. **Identify the Phrase**: The third phrase is "two-fifths".
- **Fraction**: This means 2 parts out of 5 total parts, which can be written as \( \frac{2}{5} \).

4. **Identify the Phrase**: The fourth phrase is "three-tenths".
- **Fraction**: This means 3 parts out of 10 total parts, which can be written as \( \frac{3}{10} \).

5. **Identify the Phrase**: The fifth phrase is "one-eighth".
- **Fraction**: This means 1 part out of 8 total parts, which can be written as \( \frac{1}{8} \).

6. **Identify the Phrase**: The sixth phrase is "five-sixths".
- **Fraction**: This means 5 parts out of 6 total parts, which can be written as \( \frac{5}{6} \).

7. **Identify the Phrase**: The seventh phrase is "eight-ninths".
- **Fraction**: This means 8 parts out of 9 total parts, which can be written as \( \frac{8}{9} \).

8. **Identify the Phrase**: The eighth phrase is "seven-twelfths".
- **Fraction**: This means 7 parts out of 12 total parts, which can be written as \( \frac{7}{12} \).

### Final Answer:
- (i) Three-fourths: \( \frac{3}{4} \)
- (ii) Four-sevenths: \( \frac{4}{7} \)
- (iii) Two-fifths: \( \frac{2}{5} \)
- (iv) Three-tenths: \( \frac{3}{10} \)
- (v) One-eighth: \( \frac{1}{8} \)
- (vi) Five-sixths: \( \frac{5}{6} \)
- (vii) Eight-ninths: \( \frac{8}{9} \)
- (viii) Seven-twelfths: \( \frac{7}{12} \)