Operations with algebraic fractions

12 questions

1. Calculate {3\over 5} \times {2\over 3}.
2. Calculate {9\over 10} \div {12\over 5}.
3. Calculate {3\over 8}-{1\over 6}.
4. Which of these is the fully factorised form of 24-36x?
5. Factorise x^2 - 2x -24.
6. What is the simplest form of the fraction 14x^3y^6\over 15x^4y^3?
7. Simplify {5x\over 6x}\times {4x\over 3x}.
8. Simplify {2\over a}\div {3a\over 4}.
9. Write {3\over a}+{2a\over 5} in its simplest form.
10. Which of these are equivalent to {2x+10\over 5}\times {x\over x^2 +8x + 15}?
11. Which of these are equivalent to {x^2-x -6\over 2x}\div {x^2+x-12\over x}?
12. Write {5\over 3x+12}+{x\over 5x+20} in its simplest form.

License: OGL