Solve 3/4*(-5/6)+(-1/4)*5/6

$$\frac { 3 } { 4 } \times ( - \frac { 5 } { 6 } ) + ( - \frac { 1 } { 4 } ) \times \frac { 5 } { 6 }$$

Evaluate

$$-\frac{5}{6}\approx -0.833333333$$

Solution Steps

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

$$\frac{3\left(-5\right)}{4\times 6}-\frac{1}{4}\times \frac{5}{6}$$

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

$$\frac{-15}{24}-\frac{1}{4}\times \frac{5}{6}$$

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

$$-\frac{5}{8}-\frac{1}{4}\times \frac{5}{6}$$

Multiply -\frac{1}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{5}{8}+\frac{-5}{4\times 6}$$

Do the multiplications in the fraction \frac{-5}{4\times 6}.

$$-\frac{5}{8}+\frac{-5}{24}$$

Fraction \frac{-5}{24} can be rewritten as -\frac{5}{24} by extracting the negative sign.

$$-\frac{5}{8}-\frac{5}{24}$$

Least common multiple of 8 and 24 is 24. Convert -\frac{5}{8} and \frac{5}{24} to fractions with denominator 24.

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

Since -\frac{15}{24} and \frac{5}{24} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 5 from -15 to get -20.

$$\frac{-20}{24}$$

Reduce the fraction \frac{-20}{24} to lowest terms by extracting and canceling out 4.

$$-\frac{5}{6}$$

Factor

$$-\frac{5}{6} = -0.8333333333333334$$