andrealopezramirez20 andrealopezramirez20
  • 05-04-2022
  • Mathematics
contestada

if (3/8)/(2/3)=(3/8)*(3/x), then x= ?

Respuesta :

Ankit
Ankit Ankit
  • 07-04-2022

Answer:

[tex]\fbox{x=4.5}[/tex]

Step-by-step explanation:

[tex] \frac{ \frac{3}{8}}{ \frac{2}{3} } = \frac{ \frac{3}{8}}{ \frac{3}{x} } [/tex]

Multiplying LHS & RHS with 3/8,

[tex]\frac{1}{\frac{2}{3}} = \frac{1}{\frac{3}{x}}[/tex]

Taking reciprocal both the side,

[tex] \frac{3}{2} = \frac{x}{3} [/tex]

Cross multiplying and dividing,

[tex]9 = 2x \\ x= \frac{9}{2} \\ x= 4.5[/tex]

[tex]\fbox{x=4.5}[/tex]

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