Solve 6/36*22/7*28^2

$$\frac { 6 } { 36 } \times \frac { 22 } { 7 } \times 28 ^ { 2 }$$

Evaluate

$$\frac{1232}{3}\approx 410.666666667$$

Solution Steps

Reduce the fraction \frac{6}{36} to lowest terms by extracting and canceling out 6.

$$\frac{1}{6}\times \frac{22}{7}\times 28^{2}$$

Multiply \frac{1}{6} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 22}{6\times 7}\times 28^{2}$$

Do the multiplications in the fraction \frac{1\times 22}{6\times 7}.

$$\frac{22}{42}\times 28^{2}$$

Reduce the fraction \frac{22}{42} to lowest terms by extracting and canceling out 2.

$$\frac{11}{21}\times 28^{2}$$

Calculate 28 to the power of 2 and get 784.

$$\frac{11}{21}\times 784$$

Express \frac{11}{21}\times 784 as a single fraction.

$$\frac{11\times 784}{21}$$

Multiply 11 and 784 to get 8624.

$$\frac{8624}{21}$$

Reduce the fraction \frac{8624}{21} to lowest terms by extracting and canceling out 7.

$$\frac{1232}{3}$$

Factor

$$\frac{2 ^ {4} \cdot 7 \cdot 11}{3} = 410\frac{2}{3} = 410.6666666666667$$