Solve 22/7*10.5/2*10.5/2

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

Evaluate

$$86.625$$

Solution Steps

Multiply \frac{10.5}{2} and \frac{10.5}{2} to get \left(\frac{10.5}{2}\right)^{2}.

$$\frac{22}{7}\times \left(\frac{10.5}{2}\right)^{2}$$

Expand \frac{10.5}{2} by multiplying both numerator and the denominator by 10.

$$\frac{22}{7}\times \left(\frac{105}{20}\right)^{2}$$

Reduce the fraction \frac{105}{20} to lowest terms by extracting and canceling out 5.

$$\frac{22}{7}\times \left(\frac{21}{4}\right)^{2}$$

Calculate \frac{21}{4} to the power of 2 and get \frac{441}{16}.

$$\frac{22}{7}\times \frac{441}{16}$$

Multiply \frac{22}{7} times \frac{441}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 441}{7\times 16}$$

Do the multiplications in the fraction \frac{22\times 441}{7\times 16}.

$$\frac{9702}{112}$$

Reduce the fraction \frac{9702}{112} to lowest terms by extracting and canceling out 14.

$$\frac{693}{8}$$

Factor

$$\frac{7 \cdot 11 \cdot 3 ^ {2}}{2 ^ {3}} = 86\frac{5}{8} = 86.625$$