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

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

Evaluate

$$-\frac{1}{40}=-0.025$$

Solution Steps

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

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

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

$$\frac{-15}{24}-\left(-\frac{3}{5}\right)$$

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

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

The opposite of -\frac{3}{5} is \frac{3}{5}.

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

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, add them by adding their numerators.

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

Add -25 and 24 to get -1.

$$-\frac{1}{40}$$

Factor

$$-\frac{1}{40} = -0.025$$