Solve 22/7*6*6*1/2)+(12*12)+(22/7*6*6*1/4)

$$\frac { 22 } { 7 } \times 6 \times 6 \times \frac { 1 } { 2 } ) + ( 12 \times 12 ) + ( \frac { 22 } { 7 } \times 6 \times 6 \times \frac { 1 } { 4 } )$$

Evaluate

$$\frac{396}{7}\approx 56.571428571$$

Solution Steps

Express \frac{22}{7}\times 6 as a single fraction.

$$\frac{22\times 6}{7}\times 6\times \frac{1}{2}$$

Multiply 22 and 6 to get 132.

$$\frac{132}{7}\times 6\times \frac{1}{2}$$

Express \frac{132}{7}\times 6 as a single fraction.

$$\frac{132\times 6}{7}\times \frac{1}{2}$$

Multiply 132 and 6 to get 792.

$$\frac{792}{7}\times \frac{1}{2}$$

Multiply \frac{792}{7} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{792\times 1}{7\times 2}$$

Do the multiplications in the fraction \frac{792\times 1}{7\times 2}.

$$\frac{792}{14}$$

Reduce the fraction \frac{792}{14} to lowest terms by extracting and canceling out 2.

$$\frac{396}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 11}{7} = 56\frac{4}{7} = 56.57142857142857$$