Solve 0,5sqrt{0,04}+1/6

$$0,5 \sqrt { 0,04 } + \frac { 1 } { 6 }$$

Evaluate

$$\frac{4}{15}\approx 0,266666667$$

Solution Steps

Calculate the square root of 0,04 and get 0,2.

$$0,5\times 0,2+\frac{1}{6}$$

Multiply 0,5 and 0,2 to get 0,1.

$$0,1+\frac{1}{6}$$

Convert decimal number 0,1 to fraction \frac{1}{10}.

$$\frac{1}{10}+\frac{1}{6}$$

Least common multiple of 10 and 6 is 30. Convert \frac{1}{10} and \frac{1}{6} to fractions with denominator 30.

$$\frac{3}{30}+\frac{5}{30}$$

Since \frac{3}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{3+5}{30}$$

Add 3 and 5 to get 8.

$$\frac{8}{30}$$

Reduce the fraction \frac{8}{30} to lowest terms by extracting and canceling out 2.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$