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Please help me with this, thank you.

Please help me with this, thank you.-example-1
User Samuel
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2 Answers

4 votes

Answer:


{ \underline{ \sf{D. \: \: (3a)/(2y) }}}

Explanation:


{ \sf{ (2xy)/(5ac) / \frac{ {4xy}^(2) }{15 {a}^(2) c} }}

find the reciprocal :


{ \sf{ = (2xy)/(5ac) * \frac{15 {a}^(2)c }{4 {xy}^(2) } }} \\ \\ = { \sf{( \frac{2xy}{4 {xy}^(2) }) * ( \frac{15 {a}^(2)c }{5ac} ) }} \\ \\ = { \sf{ (1)/(2y) * 3a}} \\ \\ = { \sf{ (3a)/(2y) }}

User Lourenco
by
8.0k points
7 votes

Hi ;-)


(2xy)/(5ac):(4xy^2)/(15a^2c)=(2xy)/(5ac)\cdot(15a^2c)/(4xy^2)=(3a)/(2y)\\\\Answer: \ \text{D}

User Berezovskyi
by
7.9k points

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