Solve 6*11/2*33/4

$$6 \times 1 \frac { 1 } { 2 } \times 3 \frac { 3 } { 4 }$$

Evaluate

$$\frac{135}{4}=33.75$$

Solution Steps

Multiply 1 and 2 to get 2.

$$6\times \frac{2+1}{2}\times \frac{3\times 4+3}{4}$$

Add 2 and 1 to get 3.

$$6\times \frac{3}{2}\times \frac{3\times 4+3}{4}$$

Express 6\times \frac{3}{2} as a single fraction.

$$\frac{6\times 3}{2}\times \frac{3\times 4+3}{4}$$

Multiply 6 and 3 to get 18.

$$\frac{18}{2}\times \frac{3\times 4+3}{4}$$

Divide 18 by 2 to get 9.

$$9\times \frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$9\times \frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$9\times \frac{15}{4}$$

Express 9\times \frac{15}{4} as a single fraction.

$$\frac{9\times 15}{4}$$

Multiply 9 and 15 to get 135.

$$\frac{135}{4}$$

Factor

$$\frac{3 ^ {3} \cdot 5}{2 ^ {2}} = 33\frac{3}{4} = 33.75$$