Mathematics Worksheet/Algebra/Fractional algebra

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Do questions carefully! (11 questions)

Rules:

  1. In addition and subtraction, reduce fractions to the Lowest Common Denominator.
  2. In multiplication and division, reduce fractions first as in the following example:


  1. \frac{9}{8}\times\frac{4}{5}=\frac{9}{2}\times\frac{1}{5}=\frac{9}{10}
  2. \frac{4x}{5}+\frac{\!(\!3x-\!5)}{10}=\cdots
  3. \frac{\!5(\!6x+\!4)}{4y}+\frac{\!3(\!4x+\!6y)}{6xy}=\cdots
  4. \frac{7xy}{8x^2}\times\frac{4x^3}{5y}=\cdots
  5. \frac{\!x-\!1}{\!x-\!2}-\frac{\!x-\!3}{\!x^2-\!4}=\cdots
  6. \frac{6x^3y^5}{3x^5y^2}=\cdots
  7. \frac{\!x-\!2}{\!x^2-\!4}=\cdots
  8. \frac{\!x^2+\!8x+\!16}{\!x+\!4}=\cdots
  9. \frac{5x}{(\!2x+\!2)}-\frac{3x}{(\!4x+\!4)}=\cdots
  10. \frac{\!y^2-\!16}{\!y^2+\!8x+\!16}=\cdots
  11. \frac{3x}{\!2x+\!4}\div\frac{6}{\!4x+\!8}=\cdots