Solve x-2,5*(6+2/5)

$$x - 2,5 \cdot ( 6 + \frac { 2 } { 5 } )$$

Evaluate

$$x-16$$

Solution Steps

Convert 6 to fraction \frac{30}{5}.

$$x-2,5\left(\frac{30}{5}+\frac{2}{5}\right)$$

Since \frac{30}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$x-2,5\times \frac{30+2}{5}$$

Add 30 and 2 to get 32.

$$x-2,5\times \frac{32}{5}$$

Convert decimal number 2,5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$x-\frac{5}{2}\times \frac{32}{5}$$

Multiply \frac{5}{2} times \frac{32}{5} by multiplying numerator times numerator and denominator times denominator.

$$x-\frac{5\times 32}{2\times 5}$$

Cancel out 5 in both numerator and denominator.

$$x-\frac{32}{2}$$

Divide 32 by 2 to get 16.

$$x-16$$

Expand

$$x-16$$

Solution Steps

Convert 6 to fraction \frac{30}{5}.

$$x-2,5\left(\frac{30}{5}+\frac{2}{5}\right)$$

Since \frac{30}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$x-2,5\times \frac{30+2}{5}$$

Add 30 and 2 to get 32.

$$x-2,5\times \frac{32}{5}$$

Convert decimal number 2,5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$x-\frac{5}{2}\times \frac{32}{5}$$

Multiply \frac{5}{2} times \frac{32}{5} by multiplying numerator times numerator and denominator times denominator.

$$x-\frac{5\times 32}{2\times 5}$$

Cancel out 5 in both numerator and denominator.

$$x-\frac{32}{2}$$

Divide 32 by 2 to get 16.

$$x-16$$