Solve 9/10-7/-15

$$\frac { 9 } { 10 } - \frac { 7 } { - 15 }$$

Evaluate

$$\frac{41}{30}\approx 1.366666667$$

Solution Steps

Fraction \frac{7}{-15} can be rewritten as -\frac{7}{15} by extracting the negative sign.

$$\frac{9}{10}-\left(-\frac{7}{15}\right)$$

The opposite of -\frac{7}{15} is \frac{7}{15}.

$$\frac{9}{10}+\frac{7}{15}$$

Least common multiple of 10 and 15 is 30. Convert \frac{9}{10} and \frac{7}{15} to fractions with denominator 30.

$$\frac{27}{30}+\frac{14}{30}$$

Since \frac{27}{30} and \frac{14}{30} have the same denominator, add them by adding their numerators.

$$\frac{27+14}{30}$$

Add 27 and 14 to get 41.

$$\frac{41}{30}$$

Factor

$$\frac{41}{2 \cdot 3 \cdot 5} = 1\frac{11}{30} = 1.3666666666666667$$