Solve 22/75*5*12-1/322*5*5*12

$$\frac{ 22 }{ 7 } 5 \cdot 5 \cdot 12- \frac{ 1 }{ 3 } 22 \cdot 5 \cdot 5 \cdot 12$$

Evaluate

$$-\frac{8800}{7}\approx -1257.142857143$$

Solution Steps

Express \frac{22}{7}\times 5 as a single fraction.

$$\frac{22\times 5}{7}\times 5\times 12-\frac{1}{3}\times 22\times 5\times 5\times 12$$

Multiply 22 and 5 to get 110.

$$\frac{110}{7}\times 5\times 12-\frac{1}{3}\times 22\times 5\times 5\times 12$$

Express \frac{110}{7}\times 5 as a single fraction.

$$\frac{110\times 5}{7}\times 12-\frac{1}{3}\times 22\times 5\times 5\times 12$$

Multiply 110 and 5 to get 550.

$$\frac{550}{7}\times 12-\frac{1}{3}\times 22\times 5\times 5\times 12$$

Express \frac{550}{7}\times 12 as a single fraction.

$$\frac{550\times 12}{7}-\frac{1}{3}\times 22\times 5\times 5\times 12$$

Multiply 550 and 12 to get 6600.

$$\frac{6600}{7}-\frac{1}{3}\times 22\times 5\times 5\times 12$$

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

$$\frac{6600}{7}-\frac{22}{3}\times 5\times 5\times 12$$

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

$$\frac{6600}{7}-\frac{22\times 5}{3}\times 5\times 12$$

Multiply 22 and 5 to get 110.

$$\frac{6600}{7}-\frac{110}{3}\times 5\times 12$$

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

$$\frac{6600}{7}-\frac{110\times 5}{3}\times 12$$

Multiply 110 and 5 to get 550.

$$\frac{6600}{7}-\frac{550}{3}\times 12$$

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

$$\frac{6600}{7}-\frac{550\times 12}{3}$$

Multiply 550 and 12 to get 6600.

$$\frac{6600}{7}-\frac{6600}{3}$$

Divide 6600 by 3 to get 2200.

$$\frac{6600}{7}-2200$$

Convert 2200 to fraction \frac{15400}{7}.

$$\frac{6600}{7}-\frac{15400}{7}$$

Since \frac{6600}{7} and \frac{15400}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6600-15400}{7}$$

Subtract 15400 from 6600 to get -8800.

$$-\frac{8800}{7}$$

Factor

$$-\frac{8800}{7} = -1257\frac{1}{7} = -1257.142857142857$$