Mathematics Worksheet/Algebra/Fractional algebra

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. $\frac{3x}{\!2x+\!4}\div\frac{6}{\!4x+\!8}=\cdots$