Solve 11/6+15/6left(1*854/18-1*5-2*2right)

$$1 \frac{ 1 }{ 6 } +1 \frac{ 5 }{ 6 } \left( \frac{ 1 \cdot 854 }{ 1 } 8-1 \cdot 5-2 \cdot 2 \right)$$

Evaluate

$$12510$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{6+1}{6}+\frac{1\times 6+5}{6}\left(\frac{1\times 854}{1}\times 8-1\times 5-2\times 2\right)$$

Add 6 and 1 to get 7.

$$\frac{7}{6}+\frac{1\times 6+5}{6}\left(\frac{1\times 854}{1}\times 8-1\times 5-2\times 2\right)$$

Multiply 1 and 6 to get 6.

$$\frac{7}{6}+\frac{6+5}{6}\left(\frac{1\times 854}{1}\times 8-1\times 5-2\times 2\right)$$

Add 6 and 5 to get 11.

$$\frac{7}{6}+\frac{11}{6}\left(\frac{1\times 854}{1}\times 8-1\times 5-2\times 2\right)$$

Cancel out 1 and 1.

$$\frac{7}{6}+\frac{11}{6}\left(854\times 8-1\times 5-2\times 2\right)$$

Multiply 854 and 8 to get 6832.

$$\frac{7}{6}+\frac{11}{6}\left(6832-1\times 5-2\times 2\right)$$

Multiply 1 and 5 to get 5.

$$\frac{7}{6}+\frac{11}{6}\left(6832-5-2\times 2\right)$$

Subtract 5 from 6832 to get 6827.

$$\frac{7}{6}+\frac{11}{6}\left(6827-2\times 2\right)$$

Multiply 2 and 2 to get 4.

$$\frac{7}{6}+\frac{11}{6}\left(6827-4\right)$$

Subtract 4 from 6827 to get 6823.

$$\frac{7}{6}+\frac{11}{6}\times 6823$$

Express \frac{11}{6}\times 6823 as a single fraction.

$$\frac{7}{6}+\frac{11\times 6823}{6}$$

Multiply 11 and 6823 to get 75053.

$$\frac{7}{6}+\frac{75053}{6}$$

Since \frac{7}{6} and \frac{75053}{6} have the same denominator, add them by adding their numerators.

$$\frac{7+75053}{6}$$

Add 7 and 75053 to get 75060.

$$\frac{75060}{6}$$

Divide 75060 by 6 to get 12510.

$$12510$$

Factor

$$2\times 3^{2}\times 5\times 139$$