Solve 7/2+frac{sqrt{2}}{3}=

$$\frac{ 7 }{ 2 } + \frac{ \sqrt{ 2 } }{ 3 } =$$

Evaluate

$$\frac{\sqrt{2}}{3}+\frac{7}{2}\approx 3.971404521$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 3 is 6. Multiply \frac{7}{2} times \frac{3}{3}. Multiply \frac{\sqrt{2}}{3} times \frac{2}{2}.

$$\frac{7\times 3}{6}+\frac{2\sqrt{2}}{6}$$

Since \frac{7\times 3}{6} and \frac{2\sqrt{2}}{6} have the same denominator, add them by adding their numerators.

$$\frac{7\times 3+2\sqrt{2}}{6}$$

Do the multiplications in 7\times 3+2\sqrt{2}.

$$\frac{21+2\sqrt{2}}{6}$$

Factor

$$\frac{2 \sqrt{2} + 21}{6} = 3.971404520791032$$