Solve =-5/4+3/4/-frac{5{3}-4/3}

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

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

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

Since -\frac{5}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

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

Add -5 and 3 to get -2.

$$\frac{\frac{-2}{4}}{-\frac{5}{3}-\frac{4}{3}}$$

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{1}{2}}{-\frac{5}{3}-\frac{4}{3}}$$

Since -\frac{5}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-\frac{1}{2}}{\frac{-5-4}{3}}$$

Subtract 4 from -5 to get -9.

$$\frac{-\frac{1}{2}}{\frac{-9}{3}}$$

Divide -9 by 3 to get -3.

$$\frac{-\frac{1}{2}}{-3}$$

Express \frac{-\frac{1}{2}}{-3} as a single fraction.

$$\frac{-1}{2\left(-3\right)}$$

Multiply 2 and -3 to get -6.

$$\frac{-1}{-6}$$

Fraction \frac{-1}{-6} can be simplified to \frac{1}{6} by removing the negative sign from both the numerator and the denominator.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$