Solve 4/10+7/5*30/14-0,8div0,2=

$$\frac { 4 } { 10 } + \frac { 7 } { 5 } \cdot \frac { 30 } { 14 } - 0,8 \div 0,2 =$$

Evaluate

$$-0,6$$

Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}+\frac{7}{5}\times \frac{30}{14}-\frac{0,8}{0,2}$$

Reduce the fraction \frac{30}{14} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}+\frac{7}{5}\times \frac{15}{7}-\frac{0,8}{0,2}$$

Multiply \frac{7}{5} times \frac{15}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{5}+\frac{7\times 15}{5\times 7}-\frac{0,8}{0,2}$$

Cancel out 7 in both numerator and denominator.

$$\frac{2}{5}+\frac{15}{5}-\frac{0,8}{0,2}$$

Since \frac{2}{5} and \frac{15}{5} have the same denominator, add them by adding their numerators.

$$\frac{2+15}{5}-\frac{0,8}{0,2}$$

Add 2 and 15 to get 17.

$$\frac{17}{5}-\frac{0,8}{0,2}$$

Expand \frac{0,8}{0,2} by multiplying both numerator and the denominator by 10.

$$\frac{17}{5}-\frac{8}{2}$$

Divide 8 by 2 to get 4.

$$\frac{17}{5}-4$$

Convert 4 to fraction \frac{20}{5}.

$$\frac{17}{5}-\frac{20}{5}$$

Since \frac{17}{5} and \frac{20}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-20}{5}$$

Subtract 20 from 17 to get -3.

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

Factor

$$-0,6$$