Solve 1/2*22/7*10.5*10.5

$$\frac{ 1 }{ 2 } \times \frac{ 22 }{ 7 } \times 10.5 \times 10.5$$

Evaluate

$$173.25$$

Solution Steps

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

$$\frac{1\times 22}{2\times 7}\times 10.5\times 10.5$$

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

$$\frac{22}{14}\times 10.5\times 10.5$$

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

$$\frac{11}{7}\times 10.5\times 10.5$$

Convert decimal number 10.5 to fraction \frac{105}{10}. Reduce the fraction \frac{105}{10} to lowest terms by extracting and canceling out 5.

$$\frac{11}{7}\times \frac{21}{2}\times 10.5$$

Multiply \frac{11}{7} times \frac{21}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 21}{7\times 2}\times 10.5$$

Do the multiplications in the fraction \frac{11\times 21}{7\times 2}.

$$\frac{231}{14}\times 10.5$$

Reduce the fraction \frac{231}{14} to lowest terms by extracting and canceling out 7.

$$\frac{33}{2}\times 10.5$$

Convert decimal number 10.5 to fraction \frac{105}{10}. Reduce the fraction \frac{105}{10} to lowest terms by extracting and canceling out 5.

$$\frac{33}{2}\times \frac{21}{2}$$

Multiply \frac{33}{2} times \frac{21}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33\times 21}{2\times 2}$$

Do the multiplications in the fraction \frac{33\times 21}{2\times 2}.

$$\frac{693}{4}$$

Factor

$$\frac{7 \cdot 11 \cdot 3 ^ {2}}{2 ^ {2}} = 173\frac{1}{4} = 173.25$$