Solve 1/3*22/7*21^2*30

$$\frac{ 1 }{ 3 } \times \frac{ 22 }{ 7 } \times { 21 }^{ 2 } \times 30$$

Evaluate

$$13860$$

Solution Steps

Multiply \frac{1}{3} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 22}{3\times 7}\times 21^{2}\times 30$$

Do the multiplications in the fraction \frac{1\times 22}{3\times 7}.

$$\frac{22}{21}\times 21^{2}\times 30$$

Calculate 21 to the power of 2 and get 441.

$$\frac{22}{21}\times 441\times 30$$

Express \frac{22}{21}\times 441 as a single fraction.

$$\frac{22\times 441}{21}\times 30$$

Multiply 22 and 441 to get 9702.

$$\frac{9702}{21}\times 30$$

Divide 9702 by 21 to get 462.

$$462\times 30$$

Multiply 462 and 30 to get 13860.

$$13860$$

Factor

$$2^{2}\times 3^{2}\times 5\times 7\times 11$$