Solve 7/(-12)*(-3)/14+(-3)/5*6/(-15)

$$\frac { 7 } { ( - 12 ) } \times \frac { ( - 3 ) } { 14 } + \frac { ( - 3 ) } { 5 } \times \frac { 6 } { ( - 15 ) }$$

Evaluate

$$\frac{73}{200}=0.365$$

Solution Steps

Fraction \frac{7}{-12} can be rewritten as -\frac{7}{12} by extracting the negative sign.

$$-\frac{7}{12}\times \frac{-3}{14}+\frac{-3}{5}\times \frac{6}{-15}$$

Fraction \frac{-3}{14} can be rewritten as -\frac{3}{14} by extracting the negative sign.

$$-\frac{7}{12}\left(-\frac{3}{14}\right)+\frac{-3}{5}\times \frac{6}{-15}$$

Multiply -\frac{7}{12} times -\frac{3}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-7\left(-3\right)}{12\times 14}+\frac{-3}{5}\times \frac{6}{-15}$$

Do the multiplications in the fraction \frac{-7\left(-3\right)}{12\times 14}.

$$\frac{21}{168}+\frac{-3}{5}\times \frac{6}{-15}$$

Reduce the fraction \frac{21}{168} to lowest terms by extracting and canceling out 21.

$$\frac{1}{8}+\frac{-3}{5}\times \frac{6}{-15}$$

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$\frac{1}{8}-\frac{3}{5}\times \frac{6}{-15}$$

Reduce the fraction \frac{6}{-15} to lowest terms by extracting and canceling out 3.

$$\frac{1}{8}-\frac{3}{5}\left(-\frac{2}{5}\right)$$

Multiply -\frac{3}{5} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{8}+\frac{-3\left(-2\right)}{5\times 5}$$

Do the multiplications in the fraction \frac{-3\left(-2\right)}{5\times 5}.

$$\frac{1}{8}+\frac{6}{25}$$

Least common multiple of 8 and 25 is 200. Convert \frac{1}{8} and \frac{6}{25} to fractions with denominator 200.

$$\frac{25}{200}+\frac{48}{200}$$

Since \frac{25}{200} and \frac{48}{200} have the same denominator, add them by adding their numerators.

$$\frac{25+48}{200}$$

Add 25 and 48 to get 73.

$$\frac{73}{200}$$

Factor

$$\frac{73}{2 ^ {3} \cdot 5 ^ {2}} = 0.365$$