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

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

Evaluate

$$\frac{13}{20}=0.65$$

Solution Steps

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

$$\frac{5+2}{10}-\frac{5}{10}\times \frac{1}{10}$$

Add 5 and 2 to get 7.

$$\frac{7}{10}-\frac{5}{10}\times \frac{1}{10}$$

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

$$\frac{7}{10}-\frac{1}{2}\times \frac{1}{10}$$

Multiply \frac{1}{2} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{10}-\frac{1\times 1}{2\times 10}$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 10}.

$$\frac{7}{10}-\frac{1}{20}$$

Least common multiple of 10 and 20 is 20. Convert \frac{7}{10} and \frac{1}{20} to fractions with denominator 20.

$$\frac{14}{20}-\frac{1}{20}$$

Since \frac{14}{20} and \frac{1}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-1}{20}$$

Subtract 1 from 14 to get 13.

$$\frac{13}{20}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 5} = 0.65$$