Solve (10/5-4/20)-3*6/6+2-2

$$( \frac { 10 } { 5 } - \frac { 4 } { 20 } ) - 3 * \frac { 6 } { 6 } + 2 - 2$$

Evaluate

$$-\frac{6}{5}=-1.2$$

Solution Steps

Divide 6 by 6 to get 1.

$$\frac{10}{5}-\frac{4}{20}-3\times 1+2-2$$

Divide 10 by 5 to get 2.

$$2-\frac{4}{20}-3\times 1+2-2$$

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

$$2-\frac{1}{5}-3\times 1+2-2$$

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

$$\frac{10}{5}-\frac{1}{5}-3\times 1+2-2$$

Since \frac{10}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-1}{5}-3\times 1+2-2$$

Subtract 1 from 10 to get 9.

$$\frac{9}{5}-3\times 1+2-2$$

Multiply 3 and 1 to get 3.

$$\frac{9}{5}-3+2-2$$

Convert 3 to fraction \frac{15}{5}.

$$\frac{9}{5}-\frac{15}{5}+2-2$$

Since \frac{9}{5} and \frac{15}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-15}{5}+2-2$$

Subtract 15 from 9 to get -6.

$$-\frac{6}{5}+2-2$$

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

$$-\frac{6}{5}+\frac{10}{5}-2$$

Since -\frac{6}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$\frac{-6+10}{5}-2$$

Add -6 and 10 to get 4.

$$\frac{4}{5}-2$$

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

$$\frac{4}{5}-\frac{10}{5}$$

Since \frac{4}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-10}{5}$$

Subtract 10 from 4 to get -6.

$$-\frac{6}{5}$$

Factor

$$-\frac{6}{5} = -1\frac{1}{5} = -1.2$$