Complex fractions | PDF - Free Printable

$Complex fractions | PDF$

Educational worksheet: Complex fractions | PDF. Download and print for classroom or home learning activities.

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7) $\frac{9}{x} + \frac{2}{3x} = \frac{27 + 2}{3x} = \frac{29}{3x}$

8) $\frac{x^2}{x - 4} + \frac{4}{3} = \frac{3x^2 + 4(x - 4)}{3(x - 4)} = \frac{3x^2 + 4x - 16}{3x - 12}$

9) $\frac{x^2}{9} + \frac{1}{4x} = \frac{4x^3 + 9}{36x}$

10) $\frac{4}{x - 4} + \frac{x^2}{x - 3} = \frac{4(x - 3) + x^2(x - 4)}{(x - 4)(x - 3)} = \frac{4x - 12 + x^3 - 4x^2}{x^2 - 7x + 12} = \frac{x^3 - 4x^2 + 4x - 12}{x^2 - 7x + 12}$

11) $\frac{25}{12} + \frac{s + 1}{36} = \frac{75 + s + 1}{36} = \frac{s + 76}{36}$

12) $\frac{m - 3}{16} - \frac{m - 4}{m - 3} = \frac{(m - 3)^2 - 16(m - 4)}{16(m - 3)} = \frac{m^2 - 6m + 9 - 16m + 64}{16m - 48} = \frac{m^2 - 22m + 73}{16m - 48}$

13) $\frac{x + 6}{6} - \frac{x - 2}{x + 6} = \frac{(x + 6)^2 - 6(x - 2)}{6(x + 6)} = \frac{x^2 + 12x + 36 - 6x + 12}{6x + 36} = \frac{x^2 + 6x + 48}{6x + 36}$

14) $\frac{1}{x} + \frac{x + 3}{5} - \frac{4}{x} = \frac{5 + x(x + 3) - 20}{5x} = \frac{5 + x^2 + 3x - 20}{5x} = \frac{x^2 + 3x - 15}{5x}$

Parent Tip: Review the logic above to help your child master the concept of complex fractions worksheet grade 7.

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