Solve 1/2*22/7*105*105

$$\frac{ 1 }{ 2 } \times \frac{ 22 }{ 7 } \times 105 \times 105$$

Evaluate

$$17325$$

Solution Steps

Multiply \frac{1}{2} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 22}{2\times 7}\times 105\times 105$$

Do the multiplications in the fraction \frac{1\times 22}{2\times 7}.

$$\frac{22}{14}\times 105\times 105$$

Reduce the fraction \frac{22}{14} to lowest terms by extracting and canceling out 2.

$$\frac{11}{7}\times 105\times 105$$

Express \frac{11}{7}\times 105 as a single fraction.

$$\frac{11\times 105}{7}\times 105$$

Multiply 11 and 105 to get 1155.

$$\frac{1155}{7}\times 105$$

Divide 1155 by 7 to get 165.

$$165\times 105$$

Multiply 165 and 105 to get 17325.

$$17325$$

Factor

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