Solve 1/2-(3/5-1)

$$\frac { 1 } { 2 } - ( \frac { 3 } { 5 } - 1 )$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

$$\frac{1}{2}-\left(\frac{3}{5}-\frac{5}{5}\right)$$

Since \frac{3}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}-\frac{3-5}{5}$$

Subtract 5 from 3 to get -2.

$$\frac{1}{2}-\left(-\frac{2}{5}\right)$$

The opposite of -\frac{2}{5} is \frac{2}{5}.

$$\frac{1}{2}+\frac{2}{5}$$

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

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

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

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

Add 5 and 4 to get 9.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$