Solve frac{3sqrt{3}}{10}+4/10

$$\frac{ 3 \sqrt{ 3 } }{ 10 } + \frac{ 4 }{ 10 }$$

Evaluate

$$\frac{3\sqrt{3}+4}{10}\approx 0.919615242$$

Short Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3\sqrt{3}}{10}+\frac{2}{5}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 10 and 5 is 10. Multiply \frac{2}{5} times \frac{2}{2}.

$$\frac{3\sqrt{3}}{10}+\frac{2\times 2}{10}$$

Since \frac{3\sqrt{3}}{10} and \frac{2\times 2}{10} have the same denominator, add them by adding their numerators.

$$\frac{3\sqrt{3}+2\times 2}{10}$$

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

$$\frac{3\sqrt{3}+4}{10}$$

Factor

$$\frac{3 \sqrt{3} + 4}{10} = 0.9196152422706632$$