Solve 13/10-2/3

$$1 \frac { 3 } { 10 } - \frac { 2 } { 3 }$$

Evaluate

$$\frac{19}{30}\approx 0.633333333$$

Solution Steps

Multiply 1 and 10 to get 10.

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

Add 10 and 3 to get 13.

$$\frac{13}{10}-\frac{2}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{13}{10} and \frac{2}{3} to fractions with denominator 30.

$$\frac{39}{30}-\frac{20}{30}$$

Since \frac{39}{30} and \frac{20}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-20}{30}$$

Subtract 20 from 39 to get 19.

$$\frac{19}{30}$$

Factor

$$\frac{19}{2 \cdot 3 \cdot 5} = 0.6333333333333333$$