Solve 12/2*2/6+7/9-4/2

$$\frac{ 12 }{ 2 } \times \frac{ 2 }{ 6 } + \frac{ 7 }{ 9 } - \frac{ 4 }{ 2 }$$

Evaluate

$$\frac{7}{9}\approx 0.777777778$$

Solution Steps

Divide 12 by 2 to get 6.

$$6\times \frac{2}{6}+\frac{7}{9}-\frac{4}{2}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$6\times \frac{1}{3}+\frac{7}{9}-\frac{4}{2}$$

Multiply 6 and \frac{1}{3} to get \frac{6}{3}.

$$\frac{6}{3}+\frac{7}{9}-\frac{4}{2}$$

Divide 6 by 3 to get 2.

$$2+\frac{7}{9}-\frac{4}{2}$$

Convert 2 to fraction \frac{18}{9}.

$$\frac{18}{9}+\frac{7}{9}-\frac{4}{2}$$

Since \frac{18}{9} and \frac{7}{9} have the same denominator, add them by adding their numerators.

$$\frac{18+7}{9}-\frac{4}{2}$$

Add 18 and 7 to get 25.

$$\frac{25}{9}-\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$\frac{25}{9}-2$$

Convert 2 to fraction \frac{18}{9}.

$$\frac{25}{9}-\frac{18}{9}$$

Since \frac{25}{9} and \frac{18}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-18}{9}$$

Subtract 18 from 25 to get 7.

$$\frac{7}{9}$$

Factor

$$\frac{7}{3 ^ {2}} = 0.7777777777777778$$