Applying the four operations to algebraic fractions test questions

1

Simplify \(1 + \frac{1}{t}\)

2

Simplify \(\frac{2}{y} + \frac{3}{{y - 1}}\)

3

Simplify \(\frac{w}{2} + \frac{{3w}}{4}\)

4

Simplify \(\frac{1}{{(a - 1)}} - \frac{1}{{(a + 1)}}\)

5

Simplify \(\frac{x}{{x + y}} - \frac{y}{{x - y}}\)

6

Simplify \(\frac{{{x^2} + xy}}{{xy - {y^2}}} \times \frac{y}{x}\)

7

Simplify \(\frac{{x - 1}}{{{x^2} - 4}} \times \frac{{x - 2}}{{{x^2} - 1}}\)

8

Simplify \(\frac{{{x^2} - xy}}{{{y^2} - xy}} \div \frac{x}{y}\)

9

Simplify \(\frac{{y + 3}}{{{y^2} + y - 2}} \div \frac{{{y^2} + 2y - 3}}{{y + 2}}\)