Reciprocal equation 3

Solve reciprocal equation:

1/2 + 2/3=1/x

Correct answer:

x =  0.8571

Step-by-step explanation:

$$\begin{gathered} 1\mathrm{/}2+2\mathrm{/}3=1\mathrm{/}x \\ x\mathrm{/}2+2x\mathrm{/}3=1 \\ x\mathrm{/}2+2\cdot x\mathrm{/}3=1 \\ 7x=6 \\ x={\displaystyle \frac{6}{7}}\doteq 0.857143={\displaystyle \frac{6}{7}}=0.8571 \end{gathered}$$

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