Solve 22/7*75/10*75/10*45

$$\frac{ 22 }{ 7 } \times \frac{ 75 }{ 10 } \times \frac{ 75 }{ 10 } \times 45$$

Evaluate

$$\frac{111375}{14}\approx 7955.357142857$$

Solution Steps

Multiply \frac{75}{10} and \frac{75}{10} to get \left(\frac{75}{10}\right)^{2}.

$$\frac{22}{7}\times \left(\frac{75}{10}\right)^{2}\times 45$$

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

$$\frac{22}{7}\times \left(\frac{15}{2}\right)^{2}\times 45$$

Calculate \frac{15}{2} to the power of 2 and get \frac{225}{4}.

$$\frac{22}{7}\times \frac{225}{4}\times 45$$

Multiply \frac{22}{7} times \frac{225}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 225}{7\times 4}\times 45$$

Do the multiplications in the fraction \frac{22\times 225}{7\times 4}.

$$\frac{4950}{28}\times 45$$

Reduce the fraction \frac{4950}{28} to lowest terms by extracting and canceling out 2.

$$\frac{2475}{14}\times 45$$

Express \frac{2475}{14}\times 45 as a single fraction.

$$\frac{2475\times 45}{14}$$

Multiply 2475 and 45 to get 111375.

$$\frac{111375}{14}$$

Factor

$$\frac{3 ^ {4} \cdot 5 ^ {3} \cdot 11}{2 \cdot 7} = 7955\frac{5}{14} = 7955.357142857143$$