Solve 19/30-(-621/30)

$$\frac{ 19 }{ 30 } -(-6 \frac{ 21 }{ 30 } )$$

Evaluate

$$\frac{22}{3}\approx 7.333333333$$

Solution Steps

Multiply 6 and 30 to get 180.

$$\frac{19}{30}-\left(-\frac{180+21}{30}\right)$$

Add 180 and 21 to get 201.

$$\frac{19}{30}-\left(-\frac{201}{30}\right)$$

Reduce the fraction \frac{201}{30} to lowest terms by extracting and canceling out 3.

$$\frac{19}{30}-\left(-\frac{67}{10}\right)$$

The opposite of -\frac{67}{10} is \frac{67}{10}.

$$\frac{19}{30}+\frac{67}{10}$$

Least common multiple of 30 and 10 is 30. Convert \frac{19}{30} and \frac{67}{10} to fractions with denominator 30.

$$\frac{19}{30}+\frac{201}{30}$$

Since \frac{19}{30} and \frac{201}{30} have the same denominator, add them by adding their numerators.

$$\frac{19+201}{30}$$

Add 19 and 201 to get 220.

$$\frac{220}{30}$$

Reduce the fraction \frac{220}{30} to lowest terms by extracting and canceling out 10.

$$\frac{22}{3}$$

Factor

$$\frac{2 \cdot 11}{3} = 7\frac{1}{3} = 7.333333333333333$$