Solve [3/4*(-5/6)]+(-3/5)=

$$[ \frac { 3 } { 4 } \cdot ( \frac { - 5 } { 6 } ) ] + ( - \frac { 3 } { 5 } ) =$$

Evaluate

$$-\frac{49}{40}=-1.225$$

Solution Steps

Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$\frac{3}{4}\left(-\frac{5}{6}\right)-\frac{3}{5}$$

Multiply \frac{3}{4} times -\frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\left(-5\right)}{4\times 6}-\frac{3}{5}$$

Do the multiplications in the fraction \frac{3\left(-5\right)}{4\times 6}.

$$\frac{-15}{24}-\frac{3}{5}$$

Reduce the fraction \frac{-15}{24} to lowest terms by extracting and canceling out 3.

$$-\frac{5}{8}-\frac{3}{5}$$

Least common multiple of 8 and 5 is 40. Convert -\frac{5}{8} and \frac{3}{5} to fractions with denominator 40.

$$-\frac{25}{40}-\frac{24}{40}$$

Since -\frac{25}{40} and \frac{24}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-25-24}{40}$$

Subtract 24 from -25 to get -49.

$$-\frac{49}{40}$$

Factor

$$-\frac{49}{40} = -1\frac{9}{40} = -1.225$$