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Algebra Level 1

What will be the value of a b / c \large \frac { a }{ { b }/{ c } } ?

1 a b c \dfrac{1}{abc} a b c abc a b c \dfrac{a}{bc} a c b \dfrac{ac}{b}

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4 solutions

Matin Naseri
Mar 6, 2018

a 1 b c = \frac{\frac{a}{1}}{\frac{b}{c}}= a c b \frac{ac}{b}

In division of two proper fractions, invert the divisor then proceed to multiplication.

a b c = a 1 × c b = a c b \dfrac{a}{\frac{b}{c}}=\dfrac{a}{1} \times \dfrac{c}{b}=\boxed{\dfrac{ac}{b}}

Ashish Menon
Jun 2, 2016

a b c = a c b \dfrac{a}{\frac{b}{c}} = \color{#69047E}{\boxed{\dfrac{ac}{b}}} .

a b / c = a × b 1 c 1 \frac { a }{ { b }/c } =a\times \frac { { b }^{ -1 } }{ { c }^{ -1 } }

= a c b =\frac { ac }{ b }

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