Solve 22/7*7.5*7.5

$$\frac{ 22 }{ 7 } \times 7.5 \times 7.5$$

Evaluate

$$\frac{2475}{14}\approx 176.785714286$$

Solution Steps

Convert decimal number 7.5 to fraction \frac{75}{10}. Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$\frac{22}{7}\times \frac{15}{2}\times 7.5$$

Multiply \frac{22}{7} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 15}{7\times 2}\times 7.5$$

Do the multiplications in the fraction \frac{22\times 15}{7\times 2}.

$$\frac{330}{14}\times 7.5$$

Reduce the fraction \frac{330}{14} to lowest terms by extracting and canceling out 2.

$$\frac{165}{7}\times 7.5$$

Convert decimal number 7.5 to fraction \frac{75}{10}. Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$\frac{165}{7}\times \frac{15}{2}$$

Multiply \frac{165}{7} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{165\times 15}{7\times 2}$$

Do the multiplications in the fraction \frac{165\times 15}{7\times 2}.

$$\frac{2475}{14}$$

Factor

$$\frac{11 \cdot 3 ^ {2} \cdot 5 ^ {2}}{2 \cdot 7} = 176\frac{11}{14} = 176.78571428571428$$