Solve sqrt{2}+2/4-4/5

$$\sqrt { 2 } + \frac { 2 } { 4 } - \frac { 4 } { 5 }$$

Evaluate

$$\sqrt{2}-\frac{3}{10}\approx 1.114213562$$

Solution Steps

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

$$\sqrt{2}+\frac{1}{2}-\frac{4}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{4}{5} to fractions with denominator 10.

$$\sqrt{2}+\frac{5}{10}-\frac{8}{10}$$

Since \frac{5}{10} and \frac{8}{10} have the same denominator, subtract them by subtracting their numerators.

$$\sqrt{2}+\frac{5-8}{10}$$

Subtract 8 from 5 to get -3.

$$\sqrt{2}-\frac{3}{10}$$

Factor

$$\frac{10 \sqrt{2} - 3}{10} = 1.114213562373095$$