Solve -12/9--1*3/-frac{12{9}+-1*3}

$$\frac{ - \frac{ 12 }{ 9 } --1 \cdot 3 }{ - \frac{ 12 }{ 9 } +-1 \cdot 3 }$$

Evaluate

$$-\frac{5}{13}\approx -0.384615385$$

Solution Steps

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$\frac{-\frac{4}{3}-\left(-3\right)}{-\frac{12}{9}-3}$$

The opposite of -3 is 3.

$$\frac{-\frac{4}{3}+3}{-\frac{12}{9}-3}$$

Convert 3 to fraction \frac{9}{3}.

$$\frac{-\frac{4}{3}+\frac{9}{3}}{-\frac{12}{9}-3}$$

Since -\frac{4}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-4+9}{3}}{-\frac{12}{9}-3}$$

Add -4 and 9 to get 5.

$$\frac{\frac{5}{3}}{-\frac{12}{9}-3}$$

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

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

Convert 3 to fraction \frac{9}{3}.

$$\frac{\frac{5}{3}}{-\frac{4}{3}-\frac{9}{3}}$$

Since -\frac{4}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5}{3}}{\frac{-4-9}{3}}$$

Subtract 9 from -4 to get -13.

$$\frac{\frac{5}{3}}{-\frac{13}{3}}$$

Divide \frac{5}{3} by -\frac{13}{3} by multiplying \frac{5}{3} by the reciprocal of -\frac{13}{3}.

$$\frac{5}{3}\left(-\frac{3}{13}\right)$$

Multiply \frac{5}{3} times -\frac{3}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\left(-3\right)}{3\times 13}$$

Do the multiplications in the fraction \frac{5\left(-3\right)}{3\times 13}.

$$\frac{-15}{39}$$

Reduce the fraction \frac{-15}{39} to lowest terms by extracting and canceling out 3.

$$-\frac{5}{13}$$

Factor

$$-\frac{5}{13} = -0.38461538461538464$$