Solve 2/5*5/8div0.2+4.9

$$\frac { 2 } { 5 } \times \frac { 5 } { 8 } \div 0.2 + 4.9$$

Evaluate

$$6.15$$

Solution Steps

Multiply \frac{2}{5} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2\times 5}{5\times 8}}{0.2}+4.9$$

Cancel out 5 in both numerator and denominator.

$$\frac{\frac{2}{8}}{0.2}+4.9$$

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

$$\frac{\frac{1}{4}}{0.2}+4.9$$

Express \frac{\frac{1}{4}}{0.2} as a single fraction.

$$\frac{1}{4\times 0.2}+4.9$$

Multiply 4 and 0.2 to get 0.8.

$$\frac{1}{0.8}+4.9$$

Expand \frac{1}{0.8} by multiplying both numerator and the denominator by 10.

$$\frac{10}{8}+4.9$$

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

$$\frac{5}{4}+4.9$$

Convert decimal number 4.9 to fraction \frac{49}{10}.

$$\frac{5}{4}+\frac{49}{10}$$

Least common multiple of 4 and 10 is 20. Convert \frac{5}{4} and \frac{49}{10} to fractions with denominator 20.

$$\frac{25}{20}+\frac{98}{20}$$

Since \frac{25}{20} and \frac{98}{20} have the same denominator, add them by adding their numerators.

$$\frac{25+98}{20}$$

Add 25 and 98 to get 123.

$$\frac{123}{20}$$

Factor

$$\frac{3 \cdot 41}{5 \cdot 2 ^ {2}} = 6\frac{3}{20} = 6.15$$