Solve 3(6)^2+(6)-4/2(6)^2-7(6)

$$\frac { 3 ( 6 ) ^ { 2 } + ( 6 ) - 4 } { 2 ( 6 ) ^ { 2 } - 7 ( 6 ) }$$

Evaluate

$$\frac{11}{3}\approx 3.666666667$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\frac{3\times 36+6-4}{2\times 6^{2}-7\times 6}$$

Multiply 3 and 36 to get 108.

$$\frac{108+6-4}{2\times 6^{2}-7\times 6}$$

Add 108 and 6 to get 114.

$$\frac{114-4}{2\times 6^{2}-7\times 6}$$

Subtract 4 from 114 to get 110.

$$\frac{110}{2\times 6^{2}-7\times 6}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{110}{2\times 36-7\times 6}$$

Multiply 2 and 36 to get 72.

$$\frac{110}{72-7\times 6}$$

Multiply 7 and 6 to get 42.

$$\frac{110}{72-42}$$

Subtract 42 from 72 to get 30.

$$\frac{110}{30}$$

Reduce the fraction \frac{110}{30} to lowest terms by extracting and canceling out 10.

$$\frac{11}{3}$$

Factor

$$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$$