# 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.
3. Use ^ to write exponentiation.

1

 ${\displaystyle {\frac {9}{8}}\times {\frac {4}{5}}=}$

2

 ${\displaystyle {\frac {4x}{5}}+{\frac {(3x-5)}{10}}=}$

3

 ${\displaystyle {\frac {5(6x+4)}{4y}}+{\frac {3(4x+6y)}{6xy}}=}$

4

 ${\displaystyle {\frac {7xy}{8x^{2}}}\times {\frac {4x^{3}}{5y}}=}$

5

 ${\displaystyle {\frac {x-1}{x-2}}-{\frac {x-3}{x^{2}-4}}=}$

6

 ${\displaystyle {\frac {6x^{3}y^{5}}{3x^{5}y^{2}}}=}$

7

 ${\displaystyle {\frac {x-2}{x^{2}-4}}=}$

8

 ${\displaystyle {\frac {x^{2}+8x+16}{x+4}}=}$

9

 ${\displaystyle {\frac {5x}{(2x+2)}}-{\frac {3x}{(4x+4)}}=}$

10

 ${\displaystyle {\frac {y^{2}-16}{y^{2}+8x+16}}=}$

11

 ${\displaystyle {\frac {3x}{2x+4}}\div {\frac {6}{4x+8}}=}$