Find the value of x 1+1/2+1/3+1/x = 43/30

1.	Find the value of x 1+1/2+1/3+1/x = 43/30
Answer» ONG>Step-by-step EXPLANATION: We have, $1 + \frac{1}{2 + \frac{1}{3 + \frac{1}{x} } } = \frac{43}{30 } \\$ $\implies 1 + \frac{1}{2 + \frac{x}{ 3x + 1} } = \frac{43}{30 } \\$ $\implies 1 + \frac{1}{ \frac{7x + 2}{ 3x + 1} } = \frac{43}{30 } \\$ $\implies 1 + \frac{3x + 1}{ 7x + 2} = \frac{43}{30 } \\$ $\implies \frac{10x + 3}{ 7x + 2} = \frac{43}{30 } \\$ $\implies300x + 90 = 301x + 86$ $\implies x = 4$

Answer» ONG>Step-by-step EXPLANATION:

We have,

$1 + \frac{1}{2 + \frac{1}{3 + \frac{1}{x} } } = \frac{43}{30 } \\$