Solve 1/5+2/3*9*0.1-sqrt{0.3}*sqrt{0.3}=

$$\frac { 1 } { 5 } + \frac { 2 } { 3 } \cdot 9 \cdot 0.1 - \sqrt { 0.3 } \cdot \sqrt { 0.3 } =$$

Evaluate

$$0.5$$

Solution Steps

Multiply \sqrt{0.3} and \sqrt{0.3} to get 0.3.

$$\frac{1}{5}+\frac{2}{3}\times 9\times 0.1-0.3$$

Express \frac{2}{3}\times 9 as a single fraction.

$$\frac{1}{5}+\frac{2\times 9}{3}\times 0.1-0.3$$

Multiply 2 and 9 to get 18.

$$\frac{1}{5}+\frac{18}{3}\times 0.1-0.3$$

Divide 18 by 3 to get 6.

$$\frac{1}{5}+6\times 0.1-0.3$$

Multiply 6 and 0.1 to get 0.6.

$$\frac{1}{5}+0.6-0.3$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}+\frac{3}{5}-0.3$$

Since \frac{1}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{1+3}{5}-0.3$$

Add 1 and 3 to get 4.

$$\frac{4}{5}-0.3$$

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$\frac{4}{5}-\frac{3}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{4}{5} and \frac{3}{10} to fractions with denominator 10.

$$\frac{8}{10}-\frac{3}{10}$$

Since \frac{8}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-3}{10}$$

Subtract 3 from 8 to get 5.

$$\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$