Solve 2/10+5/10+6/10+7/10+frac{8}{10}

$$\frac{ 2 }{ 10 } + \frac{ 5 }{ 10 } + \frac{ 6 }{ 10 } + \frac{ 7 }{ 10 } + \frac{ 8 }{ 10 }$$

Evaluate

$$\frac{14}{5}=2.8$$

Solution Steps

Since \frac{2}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{2+5}{10}+\frac{6}{10}+\frac{7}{10}+\frac{8}{10}$$

Add 2 and 5 to get 7.

$$\frac{7}{10}+\frac{6}{10}+\frac{7}{10}+\frac{8}{10}$$

Since \frac{7}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$\frac{7+6}{10}+\frac{7}{10}+\frac{8}{10}$$

Add 7 and 6 to get 13.

$$\frac{13}{10}+\frac{7}{10}+\frac{8}{10}$$

Since \frac{13}{10} and \frac{7}{10} have the same denominator, add them by adding their numerators.

$$\frac{13+7}{10}+\frac{8}{10}$$

Add 13 and 7 to get 20.

$$\frac{20}{10}+\frac{8}{10}$$

Divide 20 by 10 to get 2.

$$2+\frac{8}{10}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

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

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

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

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

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

Add 10 and 4 to get 14.

$$\frac{14}{5}$$

Factor

$$\frac{2 \cdot 7}{5} = 2\frac{4}{5} = 2.8$$