Algebraic Fractions - a MaS Tutor.

\frac{x}{4} - \frac{3 x}{14} = \frac{7 x}{28} - \frac{6 x}{28} = \frac{7 x - 6 x}{28} = \frac{x}{28}

\frac{4}{3 x} + \frac{6}{7 x} = \frac{28}{21 x} + \frac{18}{21 x} = \frac{46}{21 x}

\frac{4}{x - 3} - \frac{6}{2 x + 1} = \frac{4 (2 x + 1)}{(x - 3) (2 x + 1)} - \frac{6 (x - 3)}{(2 x + 1) (x - 3)}

= \frac{4 (2 x + 1) - 6 (x - 3)}{(x - 3) (2 x + 1)} = \frac{8 x + 4 - 6 x + 18}{(x - 3) (2 x + 1)} = \frac{2 x + 22}{(x - 3) (2 x + 1)} = \frac{2 (x + 11)}{(x - 3) (2 x + 1)}

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Algebraic Fractions - Simplification