Solve 4+4*18-6-8/123*6-146*5=?

$$\frac { 4 + 4 \times 18 - 6 - 8 } { 123 \times 6 - 146 \times 5 } = ?$$

Evaluate

$$\frac{31}{4}=7.75$$

Solution Steps

Multiply 4 and 18 to get 72.

$$\frac{4+72-6-8}{123\times 6-146\times 5}$$

Add 4 and 72 to get 76.

$$\frac{76-6-8}{123\times 6-146\times 5}$$

Subtract 6 from 76 to get 70.

$$\frac{70-8}{123\times 6-146\times 5}$$

Subtract 8 from 70 to get 62.

$$\frac{62}{123\times 6-146\times 5}$$

Multiply 123 and 6 to get 738.

$$\frac{62}{738-146\times 5}$$

Multiply 146 and 5 to get 730.

$$\frac{62}{738-730}$$

Subtract 730 from 738 to get 8.

$$\frac{62}{8}$$

Reduce the fraction \frac{62}{8} to lowest terms by extracting and canceling out 2.

$$\frac{31}{4}$$

Factor

$$\frac{31}{2 ^ {2}} = 7\frac{3}{4} = 7.75$$