Solve 9/5-(2/5+1/10)

$$\frac { 9 } { 5 } - ( \frac { 2 } { 5 } + \frac { 1 } { 10 } )$$

Evaluate

$$\frac{13}{10}=1.3$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{1}{10} to fractions with denominator 10.

$$\frac{9}{5}-\left(\frac{4}{10}+\frac{1}{10}\right)$$

Since \frac{4}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{9}{5}-\frac{4+1}{10}$$

Add 4 and 1 to get 5.

$$\frac{9}{5}-\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{5}-\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{9}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{18}{10}-\frac{5}{10}$$

Since \frac{18}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-5}{10}$$

Subtract 5 from 18 to get 13.

$$\frac{13}{10}$$

Factor

$$\frac{13}{2 \cdot 5} = 1\frac{3}{10} = 1.3$$