Solve -4-6*(-1/4)/9=

$$- \frac { 4 - 6 \cdot ( - \frac { 1 } { 4 } ) } { 9 } =$$

Evaluate

$$-\frac{11}{18}\approx -0.611111111$$

Solution Steps

Express 6\left(-\frac{1}{4}\right) as a single fraction.

$$-\frac{4-\frac{6\left(-1\right)}{4}}{9}$$

Multiply 6 and -1 to get -6.

$$-\frac{4-\frac{-6}{4}}{9}$$

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{4-\left(-\frac{3}{2}\right)}{9}$$

The opposite of -\frac{3}{2} is \frac{3}{2}.

$$-\frac{4+\frac{3}{2}}{9}$$

Convert 4 to fraction \frac{8}{2}.

$$-\frac{\frac{8}{2}+\frac{3}{2}}{9}$$

Since \frac{8}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$-\frac{\frac{8+3}{2}}{9}$$

Add 8 and 3 to get 11.

$$-\frac{\frac{11}{2}}{9}$$

Express \frac{\frac{11}{2}}{9} as a single fraction.

$$-\frac{11}{2\times 9}$$

Multiply 2 and 9 to get 18.

$$-\frac{11}{18}$$

Factor

$$-\frac{11}{18} = -0.6111111111111112$$