Solve 4/3+frac{sqrt{2}}{12}

$$\frac{ 4 }{ 3 } + \frac{ \sqrt{ 2 } }{ 12 }$$

Evaluate

$$\frac{\sqrt{2}}{12}+\frac{4}{3}\approx 1.451184464$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 12 is 12. Multiply \frac{4}{3} times \frac{4}{4}.

$$\frac{4\times 4}{12}+\frac{\sqrt{2}}{12}$$

Since \frac{4\times 4}{12} and \frac{\sqrt{2}}{12} have the same denominator, add them by adding their numerators.

$$\frac{4\times 4+\sqrt{2}}{12}$$

Do the multiplications in 4\times 4+\sqrt{2}.

$$\frac{16+\sqrt{2}}{12}$$

Factor

$$\frac{\sqrt{2} + 16}{12} = 1.4511844635310913$$