Solve -1/4div(6-7+2/6)

$$- \frac { 1 } { 4 } \div ( \frac { 6 - 7 + 2 } { 6 } )$$

Evaluate

$$-\frac{3}{2}=-1.5$$

Solution Steps

Divide -\frac{1}{4} by \frac{6-7+2}{6} by multiplying -\frac{1}{4} by the reciprocal of \frac{6-7+2}{6}.

$$\frac{-6}{4\left(6-7+2\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{-3}{2\left(2+6-7\right)}$$

Add 2 and 6 to get 8.

$$\frac{-3}{2\left(8-7\right)}$$

Subtract 7 from 8 to get 1.

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

Multiply 2 and 1 to get 2.

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

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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

Factor

$$-\frac{3}{2} = -1\frac{1}{2} = -1.5$$