Solve 22*5*5*12-1/3*22*5*5*12

$$22 \times 5 \times 5 \times 12 - \frac { 1 } { 3 } \times 22 \times 5 \times 5 \times 12$$

Evaluate

$$4400$$

Solution Steps

Multiply 22 and 5 to get 110.

$$110\times 5\times 12-\frac{1}{3}\times 22\times 5\times 5\times 12$$

Multiply 110 and 5 to get 550.

$$550\times 12-\frac{1}{3}\times 22\times 5\times 5\times 12$$

Multiply 550 and 12 to get 6600.

$$6600-\frac{1}{3}\times 22\times 5\times 5\times 12$$

Multiply \frac{1}{3} and 22 to get \frac{22}{3}.

$$6600-\frac{22}{3}\times 5\times 5\times 12$$

Express \frac{22}{3}\times 5 as a single fraction.

$$6600-\frac{22\times 5}{3}\times 5\times 12$$

Multiply 22 and 5 to get 110.

$$6600-\frac{110}{3}\times 5\times 12$$

Express \frac{110}{3}\times 5 as a single fraction.

$$6600-\frac{110\times 5}{3}\times 12$$

Multiply 110 and 5 to get 550.

$$6600-\frac{550}{3}\times 12$$

Express \frac{550}{3}\times 12 as a single fraction.

$$6600-\frac{550\times 12}{3}$$

Multiply 550 and 12 to get 6600.

$$6600-\frac{6600}{3}$$

Divide 6600 by 3 to get 2200.

$$6600-2200$$

Subtract 2200 from 6600 to get 4400.

$$4400$$

Factor

$$2^{4}\times 5^{2}\times 11$$