Solve 37/30-(-67/10)

$$3 \frac{ 7 }{ 30 } -(-6 \frac{ 7 }{ 10 } )$$

Evaluate

$$\frac{149}{15}\approx 9.933333333$$

Solution Steps

Multiply 3 and 30 to get 90.

$$\frac{90+7}{30}-\left(-\frac{6\times 10+7}{10}\right)$$

Add 90 and 7 to get 97.

$$\frac{97}{30}-\left(-\frac{6\times 10+7}{10}\right)$$

Multiply 6 and 10 to get 60.

$$\frac{97}{30}-\left(-\frac{60+7}{10}\right)$$

Add 60 and 7 to get 67.

$$\frac{97}{30}-\left(-\frac{67}{10}\right)$$

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

$$\frac{97}{30}+\frac{67}{10}$$

Least common multiple of 30 and 10 is 30. Convert \frac{97}{30} and \frac{67}{10} to fractions with denominator 30.

$$\frac{97}{30}+\frac{201}{30}$$

Since \frac{97}{30} and \frac{201}{30} have the same denominator, add them by adding their numerators.

$$\frac{97+201}{30}$$

Add 97 and 201 to get 298.

$$\frac{298}{30}$$

Reduce the fraction \frac{298}{30} to lowest terms by extracting and canceling out 2.

$$\frac{149}{15}$$

Factor

$$\frac{149}{3 \cdot 5} = 9\frac{14}{15} = 9.933333333333334$$