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Multiplying and dividing fractions

When multiplying fractions, multiply numerators and denominators, then simplify. Dividing by a fraction is the same as multiplying by its reciprocal.
Replace division with multiplication by the reciprocal
You may cancel before or after multiplying
Make sure the divisor is never zero
Multiply and divide algebraic fractions.
Multiplication and division
3a5⋅109a\frac{3a}{5}\cdot\frac{10}{9a}
=23, a≠0=\frac{2}{3},\ a\neq0
3a5⋅109a=3a⋅105⋅9a\frac{3a}{5}\cdot\frac{10}{9a}=\frac{3a\cdot10}{5\cdot9a}=3045=\frac{30}{45}=23=\frac{2}{3}
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