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$frac{3a {}^{2} b}{4c} div frac{2 {b}^{2} }{ac} times frac{2a {b}^{2} }{3 {c}^{2} }$
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Sederhanakanlah

Penjelasan dengan langkah-langkah:

$frac{3a {}^{2} b}{4c} div frac{2 {b}^{2} }{ac} times frac{2a {b}^{2} }{3 {c}^{2} } \ \ = frac{a {}^{2} b}{4 cancel c} times frac{a cancel c}{2b^{2} } times frac{2a {b}^{2} }{{c}^{2} } \ \ = frac{a {}^{2} b}{4} times frac{a}{ cancel2b^{2} } times frac{ cancel2a {b}^{2} }{{c}^{2} } \ \ = frac{a {}^{2} b}{4} times frac{a}{ cancel{ b^{2}} } times frac{a cancel{{b}^{2} }}{{c}^{2} } \ \ = frac{a {}^{2} b}{4} times a times frac{a}{c {}^{2} } \ \ = frac{a {}^{2} ba times a}{4c {}^{2} } \ \ = frac{a {}^{2 + 1 + 1}b }{4c {}^{2} } \ \ = frac{a {}^{4}b }{4c {}^{2} }$