Question

Please help me with this, thank you.

Answer 1

`{ \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) }}`

Answer 2

Hi ;-)

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