Solve 0,036/0,18+0,18/0,036-0,036/0,018

$$\frac { 0,036 } { 0,18 } + \frac { 0,18 } { 0,036 } - \frac { 0,036 } { 0,018 }$$

Evaluate

$$3,2$$

Solution Steps

Expand \frac{0,036}{0,18} by multiplying both numerator and the denominator by 1000.

$$\frac{36}{180}+\frac{0,18}{0,036}-\frac{0,036}{0,018}$$

Reduce the fraction \frac{36}{180} to lowest terms by extracting and canceling out 36.

$$\frac{1}{5}+\frac{0,18}{0,036}-\frac{0,036}{0,018}$$

Expand \frac{0,18}{0,036} by multiplying both numerator and the denominator by 1000.

$$\frac{1}{5}+\frac{180}{36}-\frac{0,036}{0,018}$$

Divide 180 by 36 to get 5.

$$\frac{1}{5}+5-\frac{0,036}{0,018}$$

Convert 5 to fraction \frac{25}{5}.

$$\frac{1}{5}+\frac{25}{5}-\frac{0,036}{0,018}$$

Since \frac{1}{5} and \frac{25}{5} have the same denominator, add them by adding their numerators.

$$\frac{1+25}{5}-\frac{0,036}{0,018}$$

Add 1 and 25 to get 26.

$$\frac{26}{5}-\frac{0,036}{0,018}$$

Expand \frac{0,036}{0,018} by multiplying both numerator and the denominator by 1000.

$$\frac{26}{5}-\frac{36}{18}$$

Divide 36 by 18 to get 2.

$$\frac{26}{5}-2$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{26}{5}-\frac{10}{5}$$

Since \frac{26}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-10}{5}$$

Subtract 10 from 26 to get 16.

$$\frac{16}{5}$$

Factor

$$\frac{2 ^ {4}}{5} = 3\frac{1}{5} = 3.2$$