Solve (-1/6-7/15/-frac{95{20}})+7/15=

$$( \frac { - \frac { 1 } { 6 } - \frac { 7 } { 15 } } { - \frac { 95 } { 20 } } ) + \frac { 7 } { 15 } =$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Least common multiple of 6 and 15 is 30. Convert -\frac{1}{6} and \frac{7}{15} to fractions with denominator 30.

$$\frac{-\frac{5}{30}-\frac{14}{30}}{-\frac{95}{20}}+\frac{7}{15}$$

Since -\frac{5}{30} and \frac{14}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-5-14}{30}}{-\frac{95}{20}}+\frac{7}{15}$$

Subtract 14 from -5 to get -19.

$$\frac{-\frac{19}{30}}{-\frac{95}{20}}+\frac{7}{15}$$

Reduce the fraction \frac{95}{20} to lowest terms by extracting and canceling out 5.

$$\frac{-\frac{19}{30}}{-\frac{19}{4}}+\frac{7}{15}$$

Divide -\frac{19}{30} by -\frac{19}{4} by multiplying -\frac{19}{30} by the reciprocal of -\frac{19}{4}.

$$-\frac{19}{30}\left(-\frac{4}{19}\right)+\frac{7}{15}$$

Multiply -\frac{19}{30} times -\frac{4}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-19\left(-4\right)}{30\times 19}+\frac{7}{15}$$

Do the multiplications in the fraction \frac{-19\left(-4\right)}{30\times 19}.

$$\frac{76}{570}+\frac{7}{15}$$

Reduce the fraction \frac{76}{570} to lowest terms by extracting and canceling out 38.

$$\frac{2}{15}+\frac{7}{15}$$

Since \frac{2}{15} and \frac{7}{15} have the same denominator, add them by adding their numerators.

$$\frac{2+7}{15}$$

Add 2 and 7 to get 9.

$$\frac{9}{15}$$

Reduce the fraction \frac{9}{15} to lowest terms by extracting and canceling out 3.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$