Evaluate
\frac{\sqrt{2}}{31}+\frac{3}{5}\approx 0.645619792
Factor
\frac{5 \sqrt{2} + 93}{155} = 0.645619792334616
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\frac{3\times 31}{155}+\frac{5\sqrt{2}}{155}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 31 is 155. Multiply \frac{3}{5} times \frac{31}{31}. Multiply \frac{\sqrt{2}}{31} times \frac{5}{5}.
\frac{3\times 31+5\sqrt{2}}{155}
Since \frac{3\times 31}{155} and \frac{5\sqrt{2}}{155} have the same denominator, add them by adding their numerators.
\frac{93+5\sqrt{2}}{155}
Do the multiplications in 3\times 31+5\sqrt{2}.
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Limits
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