2)Multiply/Divide Rational Expressions


Multiplying Rational Expressions
Steps:
1)Factor both numerator and denominator
2) Multiply top x top and bottom x bottom
3) Simplify Fractions
4)Reduce (if possible)


Example 1:
1, 2)Factor & Simplfy\frac{3}{x} * \frac{x}{{30}} =
 3)Multiply top x top, bottom x bottom\frac{{3x}}{{30x}} =
 4)Reduce\frac{1}{{10}}

You Try #2:
\frac{{15x}}{{23x}} * \frac{{2y}}{5} =


Example 4:
 \frac{{{y^2} + 2y - 3}}{{{y^2} - 3y - 18}} * \frac{{4{y^2} - 24y}}{{2y - 2}} =
 1) Factor\frac{{\left( {y + 3} \right)\left( {y - 1} \right)}}{{\left( {y + 3} \right)\left( {y - 6} \right)}} * \frac{{4y\left( {y - 6} \right)}}{{2\left( {y - 1} \right)}} =
 2 & 3)Multiply & Simplify\frac{{\left( {y + 3} \right)\left( {y - 1} \right)4y\left( {y - 6} \right)}}{{\left( {y + 3} \right)\left( {y - 6} \right)2\left( {y - 1} \right)}}
  4)Reduce


Dividing Rational Expressions
Steps:
1)Flip 2nd fraction
2) Factor both numerator & denominator
3) Multiply (toptop and bottombottom) & Simplify
4)Reduce (if possible)


Example A:


Example B:



Example 6:
 1) Flip
2)Factor 
3)Multiply&Simplify

4)Reduce (if possible)


Example 7:
 1) Flip
 

2)Factor
 
3)Multiply&Simplify
4)Reduce (if possible)

You Try #8: 

Example 9
 1) Flip
 

2)Factor
 
3)Multiply&Simplify




4)Reduce (if possible)


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