Solve 6.8-7div9-1/9*2

$$6.8-7 \div 9- \frac{ 1 }{ 9 } \times 2$$

Evaluate

$$5.8$$

Solution Steps

Convert decimal number 6.8 to fraction \frac{68}{10}. Reduce the fraction \frac{68}{10} to lowest terms by extracting and canceling out 2.

$$\frac{34}{5}-\frac{7}{9}-\frac{1}{9}\times 2$$

Least common multiple of 5 and 9 is 45. Convert \frac{34}{5} and \frac{7}{9} to fractions with denominator 45.

$$\frac{306}{45}-\frac{35}{45}-\frac{1}{9}\times 2$$

Since \frac{306}{45} and \frac{35}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{306-35}{45}-\frac{1}{9}\times 2$$

Subtract 35 from 306 to get 271.

$$\frac{271}{45}-\frac{1}{9}\times 2$$

Multiply \frac{1}{9} and 2 to get \frac{2}{9}.

$$\frac{271}{45}-\frac{2}{9}$$

Least common multiple of 45 and 9 is 45. Convert \frac{271}{45} and \frac{2}{9} to fractions with denominator 45.

$$\frac{271}{45}-\frac{10}{45}$$

Since \frac{271}{45} and \frac{10}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{271-10}{45}$$

Subtract 10 from 271 to get 261.

$$\frac{261}{45}$$

Reduce the fraction \frac{261}{45} to lowest terms by extracting and canceling out 9.

$$\frac{29}{5}$$

Factor

$$\frac{29}{5} = 5\frac{4}{5} = 5.8$$