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

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

Evaluate

$$5.15$$

Solution Steps

Express \frac{\frac{2}{5}}{0.2} as a single fraction.

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

Multiply 5 and 0.2 to get 1.

$$\frac{2}{1}\times \frac{5}{8}+3.9$$

Divide 2 by 1 to get 2.

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

Express 2\times \frac{5}{8} as a single fraction.

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

Multiply 2 and 5 to get 10.

$$\frac{10}{8}+3.9$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

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

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

$$\frac{5}{4}+\frac{39}{10}$$

Least common multiple of 4 and 10 is 20. Convert \frac{5}{4} and \frac{39}{10} to fractions with denominator 20.

$$\frac{25}{20}+\frac{78}{20}$$

Since \frac{25}{20} and \frac{78}{20} have the same denominator, add them by adding their numerators.

$$\frac{25+78}{20}$$

Add 25 and 78 to get 103.

$$\frac{103}{20}$$

Factor

$$\frac{103}{5 \cdot 2 ^ {2}} = 5\frac{3}{20} = 5.15$$