Solve 1:6*(7+2)-9*(7-1)

$$1 : 6 \cdot ( 7 + 2 ) - 9 \cdot ( 7 - 1 )$$

Evaluate

$$-\frac{105}{2}=-52.5$$

Solution Steps

Add 7 and 2 to get 9.

$$\frac{1}{6}\times 9-9\left(7-1\right)$$

Multiply \frac{1}{6} and 9 to get \frac{9}{6}.

$$\frac{9}{6}-9\left(7-1\right)$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{3}{2}-9\left(7-1\right)$$

Subtract 1 from 7 to get 6.

$$\frac{3}{2}-9\times 6$$

Multiply 9 and 6 to get 54.

$$\frac{3}{2}-54$$

Convert 54 to fraction \frac{108}{2}.

$$\frac{3}{2}-\frac{108}{2}$$

Since \frac{3}{2} and \frac{108}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-108}{2}$$

Subtract 108 from 3 to get -105.

$$-\frac{105}{2}$$

Factor

$$-\frac{105}{2} = -52\frac{1}{2} = -52.5$$