Solve 1/2x(5+8)*9+8*11-8*4*41/2

$$\frac { 1 } { 2 } x ( 5 + 8 ) \times 9 + 8 \times 11 - 8 \times 4 \times \frac { 41 } { 2 }$$

Evaluate

$$\frac{117x}{2}-568$$

Solution Steps

Add 5 and 8 to get 13.

$$\frac{1}{2}x\times 13\times 9+8\times 11-8\times 4\times \frac{41}{2}$$

Multiply \frac{1}{2} and 13 to get \frac{13}{2}.

$$\frac{13}{2}x\times 9+8\times 11-8\times 4\times \frac{41}{2}$$

Express \frac{13}{2}\times 9 as a single fraction.

$$\frac{13\times 9}{2}x+8\times 11-8\times 4\times \frac{41}{2}$$

Multiply 13 and 9 to get 117.

$$\frac{117}{2}x+8\times 11-8\times 4\times \frac{41}{2}$$

Multiply 8 and 11 to get 88.

$$\frac{117}{2}x+88-8\times 4\times \frac{41}{2}$$

Multiply 8 and 4 to get 32.

$$\frac{117}{2}x+88-32\times \frac{41}{2}$$

Express 32\times \frac{41}{2} as a single fraction.

$$\frac{117}{2}x+88-\frac{32\times 41}{2}$$

Multiply 32 and 41 to get 1312.

$$\frac{117}{2}x+88-\frac{1312}{2}$$

Divide 1312 by 2 to get 656.

$$\frac{117}{2}x+88-656$$

Subtract 656 from 88 to get -568.

$$\frac{117}{2}x-568$$

Expand

$$\frac{117x}{2}-568$$

Solution Steps

Add 5 and 8 to get 13.

$$\frac{1}{2}x\times 13\times 9+8\times 11-8\times 4\times \frac{41}{2}$$

Multiply \frac{1}{2} and 13 to get \frac{13}{2}.

$$\frac{13}{2}x\times 9+8\times 11-8\times 4\times \frac{41}{2}$$

Express \frac{13}{2}\times 9 as a single fraction.

$$\frac{13\times 9}{2}x+8\times 11-8\times 4\times \frac{41}{2}$$

Multiply 13 and 9 to get 117.

$$\frac{117}{2}x+8\times 11-8\times 4\times \frac{41}{2}$$

Multiply 8 and 11 to get 88.

$$\frac{117}{2}x+88-8\times 4\times \frac{41}{2}$$

Multiply 8 and 4 to get 32.

$$\frac{117}{2}x+88-32\times \frac{41}{2}$$

Express 32\times \frac{41}{2} as a single fraction.

$$\frac{117}{2}x+88-\frac{32\times 41}{2}$$

Multiply 32 and 41 to get 1312.

$$\frac{117}{2}x+88-\frac{1312}{2}$$

Divide 1312 by 2 to get 656.

$$\frac{117}{2}x+88-656$$

Subtract 656 from 88 to get -568.

$$\frac{117}{2}x-568$$