Reciprocal

What is the reciprocal of the sum of the reciprocals of 7 and 6?

Correct answer:

x =  3.2308

Step-by-step explanation:

$$\begin{gathered} a=7 \\ b=6 \\ s=1\mathrm{/}a+1\mathrm{/}b=1\mathrm{/}7+1\mathrm{/}6={\displaystyle \frac{13}{42}}\doteq 0.3095 \\ x={\displaystyle \frac{1}{s}}={\displaystyle \frac{1}{0.3095}}={\displaystyle \frac{42}{13}}=3\frac{3}{13}=3.2308 \end{gathered}$$

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