Evaluate
-\frac{\sqrt{14}}{2}+\frac{19}{8}\approx 0.504171307
Factor
\frac{19 - 4 \sqrt{14}}{8} = 0.5041713066130293
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\frac{\frac{4}{4}-\sqrt{14}+\frac{15}{4}}{2}
Convert 1 to fraction \frac{4}{4}.
\frac{\frac{4+15}{4}-\sqrt{14}}{2}
Since \frac{4}{4} and \frac{15}{4} have the same denominator, add them by adding their numerators.
\frac{\frac{19}{4}-\sqrt{14}}{2}
Add 4 and 15 to get 19.
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