What is (2a^2b)/(b^2c)*b/a ?

The solution to (2a^2b)/(b^2c)*b/a is (2a)/c

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simplify (2a^2b)/(b^2c)*b/a

simplify

\frac{2 a ^{2} b}{b ^{2} c} \cdot \frac{b}{a}

\frac{2 a}{c}

Solution steps

\frac{2 a ^{2} b}{b ^{2} c} \cdot \frac{b}{a}

Cancel

\frac{2 a ^{2} b}{b ^{2} c} : \frac{2 a ^{2}}{b c}

= \frac{2 a ^{2}}{b c} \cdot \frac{b}{a}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{2 a ^{2} b}{b c a}

Cancel the common factor:

b

= \frac{2 a ^{2}}{c a}

Simplify

\frac{a ^{2}}{a} : a

= \frac{2 a}{c}

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36 m^{2} - 121

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