Solve 0,5+12/5-2/3

$$0,5 + 1 \frac { 2 } { 5 } - \frac { 2 } { 3 }$$

Evaluate

$$\frac{37}{30}\approx 1,233333333$$

Solution Steps

Multiply 1 and 5 to get 5.

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

Add 5 and 2 to get 7.

$$0,5+\frac{7}{5}-\frac{2}{3}$$

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.

$$\frac{1}{2}+\frac{7}{5}-\frac{2}{3}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{7}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{14}{10}-\frac{2}{3}$$

Since \frac{5}{10} and \frac{14}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+14}{10}-\frac{2}{3}$$

Add 5 and 14 to get 19.

$$\frac{19}{10}-\frac{2}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{19}{10} and \frac{2}{3} to fractions with denominator 30.

$$\frac{57}{30}-\frac{20}{30}$$

Since \frac{57}{30} and \frac{20}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57-20}{30}$$

Subtract 20 from 57 to get 37.

$$\frac{37}{30}$$

Factor

$$\frac{37}{2 \cdot 3 \cdot 5} = 1\frac{7}{30} = 1.2333333333333334$$