Solve 3*22/7*10.5^2

$$3 \times \frac{ 22 }{ 7 } \times { 10.5 }^{ 2 }$$

Evaluate

$$1039.5$$

Solution Steps

Express 3\times \frac{22}{7} as a single fraction.

$$\frac{3\times 22}{7}\times 10.5^{2}$$

Multiply 3 and 22 to get 66.

$$\frac{66}{7}\times 10.5^{2}$$

Calculate 10.5 to the power of 2 and get 110.25.

$$\frac{66}{7}\times 110.25$$

Convert decimal number 110.25 to fraction \frac{11025}{100}. Reduce the fraction \frac{11025}{100} to lowest terms by extracting and canceling out 25.

$$\frac{66}{7}\times \frac{441}{4}$$

Multiply \frac{66}{7} times \frac{441}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{66\times 441}{7\times 4}$$

Do the multiplications in the fraction \frac{66\times 441}{7\times 4}.

$$\frac{29106}{28}$$

Reduce the fraction \frac{29106}{28} to lowest terms by extracting and canceling out 14.

$$\frac{2079}{2}$$

Factor

$$\frac{7 \cdot 11 \cdot 3 ^ {3}}{2} = 1039\frac{1}{2} = 1039.5$$