1. 2 / 3a + 5 / 3a - 6 / 3a
= 2 + 5 - 6 / 3a
= 2 / 3a + 5 / 3a - 2 / a
= 1 / 3a
2. 5 / m - 3 / m
= 5 - 3 / m
= 2 / m
3. 4a / b + 6a / b - 5 / b
= 4a + 6a - 5 / b
= 10a - 5 / b
4. 15x / y - 35x / y - 42 / y
= 15x - 35x - 42 / y
= -20x - 42 / y
5. 3x / y² - 4x / y² + 6 / y²
= 3x - 4x + 6 / y²
= -x + 6 / y²
6. 13a + 2 / 5bd + 2a + 2 / 5bd
= 13a + 2a + 2 + 2 / 5bd
= 15a + 4 / 5bd
7. 15m / 3mn - 9n / 3mn
= 15m - 9n / 3mn
= 5m - 3n / mn
8. 2x + 1 / x² - x - 3 / x²
= 2x + 1 - (x-3) / x²
= x + 4 / x²
9. 5y² + y / 4y - 3y² + 7y / 4y
= 5y² + y - (3y² + 7y) / 4y
= 2y² - 6y / 4y
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Verified answer
1. 2 / 3a + 5 / 3a - 6 / 3a
= 2 + 5 - 6 / 3a
= 2 / 3a + 5 / 3a - 2 / a
= 1 / 3a
2. 5 / m - 3 / m
= 5 - 3 / m
= 2 / m
3. 4a / b + 6a / b - 5 / b
= 4a + 6a - 5 / b
= 10a - 5 / b
4. 15x / y - 35x / y - 42 / y
= 15x - 35x - 42 / y
= -20x - 42 / y
5. 3x / y² - 4x / y² + 6 / y²
= 3x - 4x + 6 / y²
= -x + 6 / y²
6. 13a + 2 / 5bd + 2a + 2 / 5bd
= 13a + 2a + 2 + 2 / 5bd
= 15a + 4 / 5bd
7. 15m / 3mn - 9n / 3mn
= 15m - 9n / 3mn
= 5m - 3n / mn
8. 2x + 1 / x² - x - 3 / x²
= 2x + 1 - (x-3) / x²
= x + 4 / x²
9. 5y² + y / 4y - 3y² + 7y / 4y
= 5y² + y - (3y² + 7y) / 4y
= 2y² - 6y / 4y