Solve (3/5+1/10)+(3/5-1/10)

$$( \frac{ 3 }{ 5 } + \frac{ 1 }{ 10 } )+( \frac{ 3 }{ 5 } - \frac{ 1 }{ 10 } )$$

Evaluate

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

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{3}{5} and \frac{1}{10} to fractions with denominator 10.

$$\frac{6}{10}+\frac{1}{10}+\frac{3}{5}-\frac{1}{10}$$

Since \frac{6}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{6+1}{10}+\frac{3}{5}-\frac{1}{10}$$

Add 6 and 1 to get 7.

$$\frac{7}{10}+\frac{3}{5}-\frac{1}{10}$$

Least common multiple of 10 and 5 is 10. Convert \frac{7}{10} and \frac{3}{5} to fractions with denominator 10.

$$\frac{7}{10}+\frac{6}{10}-\frac{1}{10}$$

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

$$\frac{7+6}{10}-\frac{1}{10}$$

Add 7 and 6 to get 13.

$$\frac{13}{10}-\frac{1}{10}$$

Since \frac{13}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-1}{10}$$

Subtract 1 from 13 to get 12.

$$\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

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

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$