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

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

Evaluate

$$-\frac{17}{20}=-0.85$$

Solution Steps

Multiply \frac{1}{3} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\left(-3\right)}{3\times 4}.

$$-\frac{3}{5}+\frac{-3}{12}$$

Reduce the fraction \frac{-3}{12} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{5}-\frac{1}{4}$$

Least common multiple of 5 and 4 is 20. Convert -\frac{3}{5} and \frac{1}{4} to fractions with denominator 20.

$$-\frac{12}{20}-\frac{5}{20}$$

Since -\frac{12}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-12-5}{20}$$

Subtract 5 from -12 to get -17.

$$-\frac{17}{20}$$

Factor

$$-\frac{17}{20} = -0.85$$