Solve {9-[(9-8)+(2-2)]div[(8-4)]}

$$\{ 9 - [ ( 9 - 8 ) + ( 2 - 2 ) ] \div [ ( 8 - 4 ) ] \}$$

Evaluate

$$\frac{35}{4}=8.75$$

Solution Steps

Subtract 8 from 9 to get 1.

$$9-\frac{1+2-2}{8-4}$$

Add 1 and 2 to get 3.

$$9-\frac{3-2}{8-4}$$

Subtract 2 from 3 to get 1.

$$9-\frac{1}{8-4}$$

Subtract 4 from 8 to get 4.

$$9-\frac{1}{4}$$

Convert 9 to fraction \frac{36}{4}.

$$\frac{36}{4}-\frac{1}{4}$$

Since \frac{36}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-1}{4}$$

Subtract 1 from 36 to get 35.

$$\frac{35}{4}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2}} = 8\frac{3}{4} = 8.75$$