Solve (3/4+0,5)-(4/5-0,2)

$$( \frac { 3 } { 4 } + 0,5 ) - ( \frac { 4 } { 5 } - 0,2 )$$

Evaluate

$$0,65$$

Solution Steps

Convert decimal number 0,5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{4}+\frac{1}{2}-\left(\frac{4}{5}-0,2\right)$$

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{3}{4}+\frac{2}{4}-\left(\frac{4}{5}-0,2\right)$$

Since \frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{4}-\left(\frac{4}{5}-0,2\right)$$

Add 3 and 2 to get 5.

$$\frac{5}{4}-\left(\frac{4}{5}-0,2\right)$$

Convert decimal number 0,2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

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

Since \frac{4}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{4}-\frac{4-1}{5}$$

Subtract 1 from 4 to get 3.

$$\frac{5}{4}-\frac{3}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{5}{4} and \frac{3}{5} to fractions with denominator 20.

$$\frac{25}{20}-\frac{12}{20}$$

Since \frac{25}{20} and \frac{12}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-12}{20}$$

Subtract 12 from 25 to get 13.

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

Factor

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