Solve (2)2/5div0.2*5/8+3.9

$$( 2 ) \frac { 2 } { 5 } \div 0.2 \times \frac { 5 } { 8 } + 3.9$$

Evaluate

$$6.4$$

Solution Steps

Express 2\times \frac{2}{5} as a single fraction.

$$\frac{\frac{2\times 2}{5}}{0.2}\times \frac{5}{8}+3.9$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{4}{5}}{0.2}\times \frac{5}{8}+3.9$$

Express \frac{\frac{4}{5}}{0.2} as a single fraction.

$$\frac{4}{5\times 0.2}\times \frac{5}{8}+3.9$$

Multiply 5 and 0.2 to get 1.

$$\frac{4}{1}\times \frac{5}{8}+3.9$$

Divide 4 by 1 to get 4.

$$4\times \frac{5}{8}+3.9$$

Express 4\times \frac{5}{8} as a single fraction.

$$\frac{4\times 5}{8}+3.9$$

Multiply 4 and 5 to get 20.

$$\frac{20}{8}+3.9$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

$$\frac{5}{2}+3.9$$

Convert decimal number 3.9 to fraction \frac{39}{10}.

$$\frac{5}{2}+\frac{39}{10}$$

Least common multiple of 2 and 10 is 10. Convert \frac{5}{2} and \frac{39}{10} to fractions with denominator 10.

$$\frac{25}{10}+\frac{39}{10}$$

Since \frac{25}{10} and \frac{39}{10} have the same denominator, add them by adding their numerators.

$$\frac{25+39}{10}$$

Add 25 and 39 to get 64.

$$\frac{64}{10}$$

Reduce the fraction \frac{64}{10} to lowest terms by extracting and canceling out 2.

$$\frac{32}{5}$$

Factor

$$\frac{2 ^ {5}}{5} = 6\frac{2}{5} = 6.4$$