What is 1/(1/14+\frac{1){14+5.9}+1/14} ?

The solution to 1/(1/14+\frac{1){14+5.9}+1/14} is 5.17843…

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simplify 1/(1/14+\frac{1){14+5.9}+1/14}

simplify

\frac{1}{\frac{1}{14} + \frac{1}{14 + 5.9} + \frac{1}{14}}

5.17843 \dots

Solution steps

\frac{1}{\frac{1}{14} + \frac{1}{14 + 5.9} + \frac{1}{14}}

Combine the fractions

\frac{1}{14} + \frac{1}{14} : \frac{1}{7}

= \frac{1}{\frac{1}{7} + \frac{1}{14 + 5.9}}

Add the numbers:

14 + 5.9 = 19.9

= \frac{1}{\frac{1}{7} + \frac{1}{19.9}}

Join

\frac{1}{7} + \frac{1}{19.9} : 0.19310 \dots

= \frac{1}{0.19310 \dots}

Divide the numbers:

\frac{1}{0.19310 \dots} = 5.17843 \dots

= 5.17843 \dots

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What is 1/(1/14+\frac{1){14+5.9}+1/14} ?
The solution to 1/(1/14+\frac{1){14+5.9}+1/14} is 5.17843…