Solve 5/4div(-6/5)div1/2

$$\frac { 5 } { 4 } \div ( - \frac { 6 } { 5 } ) \div \frac { 1 } { 2 }$$

Evaluate

$$-\frac{25}{12}\approx -2.083333333$$

Solution Steps

Divide \frac{\frac{5}{4}}{-\frac{6}{5}} by \frac{1}{2} by multiplying \frac{\frac{5}{4}}{-\frac{6}{5}} by the reciprocal of \frac{1}{2}.

$$\frac{\frac{5}{4}\times 2}{-\frac{6}{5}}$$

Express \frac{5}{4}\times 2 as a single fraction.

$$\frac{\frac{5\times 2}{4}}{-\frac{6}{5}}$$

Multiply 5 and 2 to get 10.

$$\frac{\frac{10}{4}}{-\frac{6}{5}}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{5}{2}}{-\frac{6}{5}}$$

Divide \frac{5}{2} by -\frac{6}{5} by multiplying \frac{5}{2} by the reciprocal of -\frac{6}{5}.

$$\frac{5}{2}\left(-\frac{5}{6}\right)$$

Multiply \frac{5}{2} times -\frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\left(-5\right)}{2\times 6}$$

Do the multiplications in the fraction \frac{5\left(-5\right)}{2\times 6}.

$$\frac{-25}{12}$$

Fraction \frac{-25}{12} can be rewritten as -\frac{25}{12} by extracting the negative sign.

$$-\frac{25}{12}$$

Factor

$$-\frac{25}{12} = -2\frac{1}{12} = -2.0833333333333335$$